Готові списки джерел за темами / K-theory

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Добірка наукової літератури з теми "K-theory"

Автор: Grafiati
Опубліковано: 4 червня 2021
Оновлено: 31 липня 2024

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Статті в журналах з теми "K-theory"

1

Ausoni, Christian, and John Rognes. "Algebraic K-theory of topological K-theory." Acta Mathematica 188, no. 1 (2002): 1–39. http://dx.doi.org/10.1007/bf02392794.

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2

Mitchell, Stephen A. "Topological K-Theory of Algebraic K-Theory Spectra." K-Theory 21, no. 3 (November 2000): 229–47. http://dx.doi.org/10.1023/a:1026580718473.

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3

Felisatti, Marcello. "Multiplicative K-theory and K-theory of Functors." Mediterranean Journal of Mathematics 5, no. 4 (December 2008): 493–99. http://dx.doi.org/10.1007/s00009-008-0163-0.

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4

Bouwknegt, Peter, Alan L. Carey, Varghese Mathai, Michael K. Murray, and Danny Stevenson. "Twisted K-Theory and K-Theory of Bundle Gerbes." Communications in Mathematical Physics 228, no. 1 (June 1, 2002): 17–49. http://dx.doi.org/10.1007/s002200200646.

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5

Loday, Jean-Louis. "Algebraic K-Theory and the Conjectural Leibniz K-Theory." K-Theory 30, no. 2 (October 2003): 105–27. http://dx.doi.org/10.1023/b:kthe.0000018382.90150.ce.

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6

Kobal, Damjan. "K-Theory, Hermitian K-Theory and the Karoubi Tower." K-Theory 17, no. 2 (June 1999): 113–40. http://dx.doi.org/10.1023/a:1007799508729.

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7

Charles Jones, Kevin, Youngsoo Kim, Andrea H. Mhoon, Rekha Santhanam, Barry J. Walker, and Daniel R. Grayson. "The Additivity Theorem in K-Theory." K-Theory 32, no. 2 (June 2004): 181–91. http://dx.doi.org/10.1023/b:kthe.0000037546.39459.cb.

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8

Coutinho, Severino Collier, and Hvedri Inassaridze. "Algebraic K-Theory." Mathematical Gazette 81, no. 490 (March 1997): 167. http://dx.doi.org/10.2307/3618817.

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9

Geisser, Thomas, Lars Hesselholt, Annette Huber-Klawitter, and Moritz Kerz. "Algebraic K-theory." Oberwolfach Reports 16, no. 2 (June 3, 2020): 1737–90. http://dx.doi.org/10.4171/owr/2019/29.

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10

Chowdhry, Maya. "k/not theory." Journal of Lesbian Studies 4, no. 4 (December 2000): 59–70. http://dx.doi.org/10.1300/j155v04n04_05.

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Дисертації з теми "K-theory"

1

Gritschacher, Simon. "Commutative K-theory." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:5d5b0e20-20ef-4eec-a032-8bcb5fe59884.

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The bar construction BG of a topological group G has a subcomplex BcomG ⊂ BG assembled from spaces of commuting elements in G. If G = U;O (the infinite unitary / orthogonal groups) then BcomU and BcomO are E∞-ring spaces. The corresponding cohomology theory is called commutative K-theory. In this work we study properties of the spaces BcomG and of infinite loop spaces built from them, with an emphasis on the cases G = U,O. The content of this thesis is organised as follows: In Chapter 1 we consider a family of self-maps of BcomG and apply these to study the question when the inclusion map BcomG ⊂ BG admits a section up to homotopy. In Chapter 2 we show that BcomU is a model for the E∞-ring space underlying the ku-group ring of ℂP∞. Thus we provide a complete description of complex commutative K-theory. We also study the space BcomO. Our results include a computation of the torsionfree part of the homotopy groups of BcomO and a long exact sequence relating real commutative K-theory to singular mod-2 homology. Chapter 3 is self-contained. We prove a result about the acyclicity of the "comparison map" M∞ → ΩBM in the group-completion theorem and apply this to compare the infinite loop space associated to a commutative 𝕀-monoid with the Quillen plus-construction. Chapter 4 is concerned with a previously known filtration of Ω0∞S∞ by certain infinite loop spaces {hocolim𝕀B(q, Σ_)}q≥2. For each term in this filtration we construct another filtration on the spectrum level, whose subquotients we describe. Our set-up is more general, but the space hocolim𝕀B(q, Σ_) will serve as our main example. Appendix A is an excerpt from the author's Oxford transfer thesis. There we gave a construction of an infinite loop space associated to certain subspaces B(q, Γg,1) ⊂ BΓg;1, where Γg;1 is the mapping class group of a genus g surface with one boundary component.
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2

Levikov, Filipp. "L-theory, K-theory and involutions." Thesis, University of Aberdeen, 2013. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=201918.

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In Part 1, we consider two descriptions of L-homology of a (polyhedron of a) simplicial complex X. The classical approach of Ranicki via (Z,X)-modules (cf. [Ran92]) iswell established and is used in Ranicki’s definition of the total surgery obstruction and his formulation of the algebraic surgery exact sequence (cf. [Ran79], [Ran92],[KMM]). This connection between algebraic surgery and geometric surgery has numerous applications in the theory of (highdimensional) manifolds. The approach described in [RW10] uses a category of homotopy complexes of cosheaves to construct for a manifold M a (rational) orientation class [M]L• in symmetric L-homology which is topologically invariant per construction. This is used to reprove the topological invariance of rational Pontryagin classes. The L-theory of the category of homotopy complexes of sheaves over an ENR X can be naturally identified with L-homology of X. If X is a simplicial complex, both definitions give L-homology, there is no direct comparison however. We close this gap by constructing a functor from the category of (Z,X)-modules to the category of homotopy cosheaves of chain complexes of Ranicki-Weiss inducing an equivalence on L-theory. The work undertaken in Part 1 may be considered as an addendum to [RW10] and suggests some translation of ideas of [Ran92] into the language of [RW10]. Without significant alterations, this work may be generalised to the case of X being a △-set. The L-theory of △-sets is considered in [RW12]. Let A be a unital ring and I a category with objects given by natural numbers and two kinds of morphisms mn → n satisfying certain relations (see Ch.3.4). There is an I-diagram, given by n 7→ ˜K (A[x]/xn) where the tilde indicates the homotopy fiber of the projection induced map on algebraic K-theory (of free modules) K(A[x]/xn) → K(A). In Part 2 we consider the following result by Betley and Schlichtkrull [BS05]. After completion there is an equivalence of spectra TC(A)∧ ≃ holim I ˜K(A[x]/xn)∧ where TC(A) is the topological cyclic homology of A. This is a very important invariant of K-theory (cf. [BHM93], [DGM12]) and comes with the cyclotomic trace map tr : K(A) → TC(A). In [BS05], the authors prove that under the above identification the trace map corresponds to a “multiplication” with an element u∞ ∈ holim I ˜K (Z[x]/xn). In this work we are interested in a generalisation of this result. We construct an element u∞ ∈ holim I ˜K(Cn). where Cn can be viewed as the category of freemodules over the nilpotent extension S[x]/xn of the sphere spectrum S. Let G be a discrete group and S[G] its spherical group ring. Using our lift of u∞ we construct a map trBS : K(S[G]) → holim I ˜K (CG n ) where CG n should be interpreted as the category of free modules over the extension S[G][x]/xn. After linearisation this map coincides with the trace map constructed by Betley and Schlichtkrull. We conjecture but do not prove, that after completion the domain coincides with the topological cyclic homology of S[G]. Some indication is given at the end of the final chapter. To construct the element u∞ we rely on a generalisation of a result of Grayson on the K-theory of endomorphisms (cf. [Gra77]). Denote by EndC the category of endomorphisms of finite CW-spectra and by RC the Waldhausen category of free CW-spectra with an action of N, which are finite in the equivariant sense. Cofibrations are given by cellular inclusions and weak equivalences are given bymaps inducing an equivalence of (reduced) cellular chain complexes of Z[x]-modules, after inverting the set {1 + xZ[x]}. In Chapter 5 we prove (5.8) that there is a homotopy equivalence of spectra ˜K (EndC) ≃ ˜K (RC). where tildes indicate that homotopy fibres of the respective projections are considered. Furthermore, we pursue the goal of constructing an involutive tracemap for themodel of [BS05]. We employ the framework ofWaldhausen categories with duality (cf. [WW98]) to introduce for any G involutions on holim I ˜K (CG n ). We give enough indication for our trace map being involutive, in particular in the last three sections of Chapter 5, we sketch how the generalisation of the theoremof Grayson (5.8) can be improved to an involutive version. In the final chapter, we develop this further. Assuming that the element u∞ ∈ holim I ˜K (Cn) is a homotopy fixed point of the introduced involution, we construct a map from quadratic L-theory of S[G] to the Tate homology spectrum of Z/2 acting on the fibre of trBS (see 6.9) : L•(S[G]) → (hofib(trBS))thZ/2 and discuss the connection of this to a conjecture of Rognes andWeiss. The two parts of the thesis are preluded with their own introduction andmay be read independently. The fewcross references are completely neglectible.
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3

Takeda, Yuichiro. "Localization theorem in equivariant algebraic K-theory." 京都大学 (Kyoto University), 1997. http://hdl.handle.net/2433/202419.

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4

Stefański, Bogdan. "String theory, dirichlet branes and K-theory." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621023.

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5

Braun, Volker Friedrich. "K-theory and exceptional holonomy in string theory." Doctoral thesis, [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=965401650.

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6

Mitchener, Paul David. "K-theory of C*-categories." Thesis, University of Oxford, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365771.

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7

Zakharevich, Inna (Inna Ilana). "Scissors congruence and K-theory." Thesis, Massachusetts Institute of Technology, 2012. http://hdl.handle.net/1721.1/73376.

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Анотація:
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2012.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 83-84).
In this thesis we develop a version of classical scissors congruence theory from the perspective of algebraic K-theory. Classically, two polytopes in a manifold X are defined to be scissors congruent if they can be decomposed into finite sets of pairwise-congruent polytopes. We generalize this notion to an abstract problem: given a set of objects and decomposition and congruence relations between them, when are two objects in the set scissors congruent? By packaging the scissors congruence information in a Waldhausen category we construct a spectrum whose homotopy groups include information about the scissors congruence problem. We then turn our attention to generalizing constructions from the classical case to these Waldhausen categories, and find constructions for cofibers, suspensions, and products of scissors congruence problems.
by Inna Zakharevich.
Ph.D.
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8

Cain, Christopher. "K-theory of Fermat curves." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/262483.

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I investigate the K_2 groups of the quotients of Fermat curves given in projective coordinates by the equation F_n:X^n+Y^n=Z^n. On any quotient where the number of known elements is equal to the rank predicted by Beilinson’s Conjecture I verify numerically that the determinant of the matrix of regulator values agrees with the leading coefficient of the L-function up to a simple rational number. The main source of K_2 elements are the so-called “symbols with divisorial support at infinity” that were found by Ross in the 1990’s. These consist of symbols of the form f, g where f and g have divisors whose points P all satisfy XY Z(P) = 0. The image of this subgroup under the regulator is computed and is found to be of rank predicted by Beilinson’s Conjecture on eleven nonisomorphic quotients of dimension greater than one. The L-functions of these quotients are computed using Dokchitser’s ComputeL package and Beilinson’s Conjecture is verified numerically to a precision of 200 decimal digits. In chapter five, with careful analysis of a certain 2 × 2 determinant it is shown that a particular hyperelliptic quotient of all the Fermat curves has K_2 group of rank at least two. In the last chapter of the dissertation, a computational method is used in order to discover new elements of K_2. These elements are rigorously proven to be tame and allow for the full verification of Beilinson’s Conjecture on the Fermat curves F_7 and F_9. Also the method allows us to verify Beilinson’s Conjecture on certain hyperelliptic quotients of F_8 and F_10. Quotients where a similar method might be successful are also suggested.
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9

Bunch, Eric. "K-Theory in categorical geometry." Diss., Kansas State University, 2015. http://hdl.handle.net/2097/20350.

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Doctor of Philosophy
Department of Mathematics
Zongzhu Lin
In the endeavor to study noncommutative algebraic geometry, Alex Rosenberg defined in [13] the spectrum of an Abelian category. This spectrum generalizes the prime spectrum of a commutative ring in the sense that the spectrum of the Abelian category R − mod is homeomorphic to the prime spectrum of R. This spectrum can be seen as the beginning of “categorical geometry”, and was used in [15] to study noncommutative algebriac geometry. In this thesis, we are concerned with geometries extending beyond traditional algebraic geometry coming from the algebraic structure of rings. We consider monoids in a monoidal category as the appropriate generalization of rings–rings being monoids in the monoidal category of Abelian groups. Drawing inspiration from the definition of the spectrum of an Abelian category in [13], and the exploration of it in [15], we define the spectrum of a monoidal category, which we will call the monoidal spectrum. We prove a descent condition which is the mathematical formalization of the statment “R − mod is the category of quasi-coherent sheaves on the monoidal spectrum of R − mod”. In addition, we prove a functoriality condidition for the spectrum, and show that for a commutative Noetherian ring, the monoidal spectrum of R − mod is homeomorphic to the prime spectrum of the ring R. In [1], Paul Balmer defined the prime tensor ideal spectrum of a tensor triangulated cat- gory; this can be thought of as the beginning of “tensor triangulated categorical geometry”. This definition is very transparent and digestible, and is the inspiration for the definition in this thesis of the prime tensor ideal spectrum of an monoidal Abelian category. It it shown that for a polynomial identity ring R such that the catgory R − mod is monoidal Abelian, the prime tensor ideal spectrum is homeomorphic to the prime ideal spectrum.
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10

Hedlund, William. "K-Theory and An-Spaces." Thesis, Uppsala universitet, Algebra och geometri, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-414082.

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Книги з теми "K-theory"

1

Atiyah, Michael Francis. K-theory. Redwood City, Calif: Addison-Wesley Pub. Co., Advanced Book Program, 1989.

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2

Srinivas, V. Algebraic K-theory. Boston: Birkhäuser, 1991.

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3

Inassaridze, H. Algebraic K-theory. Dordrecht: Kluwer Academic Publishers, 1995.

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4

Srinivas, V. Algebraic K-theory. 2nd ed. Boston: Birkhäuser, 1996.

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5

Srinivas, V. Algebraic K-Theory. Boston, MA: Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-0-8176-4739-1.

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6

Inassaridze, Hvedri. Algebraic K-Theory. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8569-9.

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Srinivas, V. Algebraic K-Theory. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4899-6735-0.

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8

International Meeting on K-theory (1992 : Institut de recherche mathématique avancée), ed. K-theory: Strasbourg, 1992. Paris: Société mathématique de France, 1994.

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9

Penner, Robert. Topology and K-Theory. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43996-5.

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10

Kiechle, Hubert. Theory of K-Loops. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/b83276.

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Частини книг з теми "K-theory"

1

Abrams, Gene, Pere Ara, and Mercedes Siles Molina. "K-Theory." In Lecture Notes in Mathematics, 219–57. London: Springer London, 2017. http://dx.doi.org/10.1007/978-1-4471-7344-1_6.

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2

Shafarevich, Igor R. "K-theory." In Encyclopaedia of Mathematical Sciences, 230–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/3-540-26474-4_22.

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3

Mukherjee, Amiya. "K-Theory." In Atiyah-Singer Index Theorem, 1–34. Gurgaon: Hindustan Book Agency, 2013. http://dx.doi.org/10.1007/978-93-86279-60-6_1.

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4

Strung, Karen R. "K-theory." In Advanced Courses in Mathematics - CRM Barcelona, 175–200. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47465-2_12.

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5

Levine, Marc. "K-theory." In Mixed Motives, 357–69. Providence, Rhode Island: American Mathematical Society, 1998. http://dx.doi.org/10.1090/surv/057/08.

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6

Aguilar, Marcelo, Samuel Gitler, and Carlos Prieto. "K-Theory." In Universitext, 289–307. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/0-387-22489-0_9.

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7

Husemoller, Dale. "Relative K-Theory." In Graduate Texts in Mathematics, 122–39. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4757-2261-1_10.

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Mukherjee, Amiya. "Equivariant K-Theory." In Atiyah-Singer Index Theorem, 178–99. Gurgaon: Hindustan Book Agency, 2013. http://dx.doi.org/10.1007/978-93-86279-60-6_7.

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9

Dundas, Bjørn Ian, Thomas G. Goodwillie, and Randy McCarthy. "Algebraic K-Theory." In The Local Structure of Algebraic K-Theory, 1–61. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4393-2_1.

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10

Feigin, B. L., and B. L. Tsygan. "Additive K-theory." In K-Theory, Arithmetic and Geometry, 67–209. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078368.

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Тези доповідей конференцій з теми "K-theory"

1

D'Ambrosio, Giancarlo. "Theory of rare $K$ decays." In 9th International Workshop on the CKM Unitarity Triangle. Trieste, Italy: Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.291.0061.

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2

Tamaki, Dai. "Twisting Segal's K-Homology Theory." In Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814425018_0007.

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D'Ambrosio, Giancarlo. "Theory of rare K decays." In The International Conference on B-Physics at Frontier Machines. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.326.0027.

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4

Mishchenko, Alexandr S. "K-theory over C*-algebras." In Geometry and Topology of Manifolds. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-13.

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Jardine, John F. "The K–theory presheaf of spectra." In New topological contexts for Galois theory and algebraic geometry. Mathematical Sciences Publishers, 2009. http://dx.doi.org/10.2140/gtm.2009.16.151.

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JOACHIM, MICHAEL. "UNBOUNDED FREDHOLM OPERATORS AND K-THEORY." In Proceedings of the School. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704443_0009.

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Bass, H., A. O. Kuku, and C. Pedrini. "Algebraic K-Theory and its Applications." In Workshop and Symposium. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814528474.

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Szabo, Richard J. "D-Branes and Bivariant K-Theory." In Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814425018_0005.

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9

Nabeebaccus, Saad, and Roman Zwicky. "On the $ R_{K} $ theory error." In 11th International Workshop on the CKM Unitarity Triangle. Trieste, Italy: Sissa Medialab, 2023. http://dx.doi.org/10.22323/1.411.0071.

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10

SATI, H. "SOME RELATIONS BETWEEN TWISTED K-THEORY AND E8 GAUGE THEORY." In Proceedings of the 32nd Coral Gables Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701992_0049.

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Звіти організацій з теми "K-theory"

1

Falco, Domenico, and Alessandro Giulini. Asymptotic Modeling of Wave Functions, Regular Curves and Riemannian K-Theory. Web of Open Science, February 2020. http://dx.doi.org/10.37686/qrl.v1i1.3.

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2

Adams, Allan W. Strings, Branes and K-Theory from E{sub 8} Bundles in 11 Dimensions. Office of Scientific and Technical Information (OSTI), August 2002. http://dx.doi.org/10.2172/799922.

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3

MARKOV, R. S., E. A. BURTSEVA, and E. I. SHURUPOVA. THE ORIGIN OF THE STATE IN THE SOCIO-PHILOSOPHICAL PARADIGM K. LEONTIEV. Science and Innovation Center Publishing House, April 2022. http://dx.doi.org/10.12731/2077-1770-2021-14-1-2-29-37.

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Анотація:
The article deals with the philosophical understanding of the social phenomenon of the origin of the state, presented in the works of the pre-revolutionary Russian thinker and conservative publicist K Leontiev. Arguments both confirming and refuting the truth of the proposed concept are studied. It is proved that the Leontiev paradigm is an original interpretation of the organic theory of the origin of the state, which is supported by examples from the natural world and world history.
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4

Muller, L., G. Yang, and V. Comalino. Integrability in Constructive K-Theory mathematical model for operation algorithms of an airship anti-stealth radar. Web of Open Science, February 2020. http://dx.doi.org/10.37686/ser.v1i1.2.

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5

MacFarlane, Andrew. 2021 medical student essay prize winner - A case of grief. Society for Academic Primary Care, July 2021. http://dx.doi.org/10.37361/medstudessay.2021.1.1.

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As a student undertaking a Longitudinal Integrated Clerkship (LIC)1 based in a GP practice in a rural community in the North of Scotland, I have been lucky to be given responsibility and my own clinic lists. Every day I conduct consultations that change my practice: the challenge of clinically applying the theory I have studied, controlling a consultation and efficiently exploring a patient's problems, empathising with and empowering them to play a part in their own care2 – and most difficult I feel – dealing with the vast amount of uncertainty that medicine, and particularly primary care, presents to both clinician and patient. I initially consulted with a lady in her 60s who attended with her husband, complaining of severe lower back pain who was very difficult to assess due to her pain level. Her husband was understandably concerned about the degree of pain she was in. After assessment and discussion with one of the GPs, we agreed some pain relief and a physio assessment in the next few days would be a practical plan. The patient had one red flag, some leg weakness and numbness, which was her ‘normal’ on account of her multiple sclerosis. At the physio assessment a few days later, the physio felt things were worse and some urgent bloods were ordered, unfortunately finding raised cancer and inflammatory markers. A CT scan of the lung found widespread cancer, a later CT of the head after some developing some acute confusion found brain metastases, and a week and a half after presenting to me, the patient sadly died in hospital. While that was all impactful enough on me, it was the follow-up appointment with the husband who attended on the last triage slot of the evening two weeks later that I found completely altered my understanding of grief and the mourning of a loved one. The husband had asked to speak to a Andrew MacFarlane Year 3 ScotGEM Medical Student 2 doctor just to talk about what had happened to his wife. The GP decided that it would be better if he came into the practice - strictly he probably should have been consulted with over the phone due to coronavirus restrictions - but he was asked what he would prefer and he opted to come in. I sat in on the consultation, I had been helping with any examinations the triage doctor needed and I recognised that this was the husband of the lady I had seen a few weeks earlier. He came in and sat down, head lowered, hands fiddling with the zip on his jacket, trying to find what to say. The GP sat, turned so that they were opposite each other with no desk between them - I was seated off to the side, an onlooker, but acknowledged by the patient with a kind nod when he entered the room. The GP asked gently, “How are you doing?” and roughly 30 seconds passed (a long time in a conversation) before the patient spoke. “I just really miss her…” he whispered with great effort, “I don’t understand how this all happened.” Over the next 45 minutes, he spoke about his wife, how much pain she had been in, the rapid deterioration he witnessed, the cancer being found, and cruelly how she had passed away after he had gone home to get some rest after being by her bedside all day in the hospital. He talked about how they had met, how much he missed her, how empty the house felt without her, and asking himself and us how he was meant to move forward with his life. He had a lot of questions for us, and for himself. Had we missed anything – had he missed anything? The GP really just listened for almost the whole consultation, speaking to him gently, reassuring him that this wasn’t his or anyone’s fault. She stated that this was an awful time for him and that what he was feeling was entirely normal and something we will all universally go through. She emphasised that while it wasn’t helpful at the moment, that things would get better over time.3 He was really glad I was there – having shared a consultation with his wife and I – he thanked me emphatically even though I felt like I hadn’t really helped at all. After some tears, frequent moments of silence and a lot of questions, he left having gotten a lot off his chest. “You just have to listen to people, be there for them as they go through things, and answer their questions as best you can” urged my GP as we discussed the case when the patient left. Almost all family caregivers contact their GP with regards to grief and this consultation really made me realise how important an aspect of my practice it will be in the future.4 It has also made me reflect on the emphasis on undergraduate teaching around ‘breaking bad news’ to patients, but nothing taught about when patients are in the process of grieving further down the line.5 The skill Andrew MacFarlane Year 3 ScotGEM Medical Student 3 required to manage a grieving patient is not one limited to general practice. Patients may grieve the loss of function from acute trauma through to chronic illness in all specialties of medicine - in addition to ‘traditional’ grief from loss of family or friends.6 There wasn’t anything ‘medical’ in the consultation, but I came away from it with a real sense of purpose as to why this career is such a privilege. We look after patients so they can spend as much quality time as they are given with their loved ones, and their loved ones are the ones we care for after they are gone. We as doctors are the constant, and we have to meet patients with compassion at their most difficult times – because it is as much a part of the job as the knowledge and the science – and it is the part of us that patients will remember long after they leave our clinic room. Word Count: 993 words References 1. ScotGEM MBChB - Subjects - University of St Andrews [Internet]. [cited 2021 Mar 27]. Available from: https://www.st-andrews.ac.uk/subjects/medicine/scotgem-mbchb/ 2. Shared decision making in realistic medicine: what works - gov.scot [Internet]. [cited 2021 Mar 27]. Available from: https://www.gov.scot/publications/works-support-promote-shared-decisionmaking-synthesis-recent-evidence/pages/1/ 3. Ghesquiere AR, Patel SR, Kaplan DB, Bruce ML. Primary care providers’ bereavement care practices: Recommendations for research directions. Int J Geriatr Psychiatry. 2014 Dec;29(12):1221–9. 4. Nielsen MK, Christensen K, Neergaard MA, Bidstrup PE, Guldin M-B. Grief symptoms and primary care use: a prospective study of family caregivers. BJGP Open [Internet]. 2020 Aug 1 [cited 2021 Mar 27];4(3). Available from: https://bjgpopen.org/content/4/3/bjgpopen20X101063 5. O’Connor M, Breen LJ. General Practitioners’ experiences of bereavement care and their educational support needs: a qualitative study. BMC Medical Education. 2014 Mar 27;14(1):59. 6. Sikstrom L, Saikaly R, Ferguson G, Mosher PJ, Bonato S, Soklaridis S. Being there: A scoping review of grief support training in medical education. PLOS ONE. 2019 Nov 27;14(11):e0224325.
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