Academic literature on the topic 'Quasi-categories'
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Journal articles on the topic "Quasi-categories"
Harpaz, Yonatan. "Quasi-unital ∞–categories." Algebraic & Geometric Topology 15, no. 4 (September 10, 2015): 2303–81. http://dx.doi.org/10.2140/agt.2015.15.2303.
Full textZhao, Deke. "Skew categories, smash product categories and quasi-Koszul categories." Proceedings of the American Mathematical Society 139, no. 08 (August 1, 2011): 2657. http://dx.doi.org/10.1090/s0002-9939-2011-10695-6.
Full textDugger, Daniel, and David I. Spivak. "Rigidification of quasi-categories." Algebraic & Geometric Topology 11, no. 1 (January 7, 2011): 225–61. http://dx.doi.org/10.2140/agt.2011.11.225.
Full textSteimle, Wolfgang. "Degeneracies in quasi-categories." Journal of Homotopy and Related Structures 13, no. 4 (February 24, 2018): 703–14. http://dx.doi.org/10.1007/s40062-018-0199-1.
Full textSchneiders, Jean-Pierre. "Quasi-abelian categories and sheaves." Mémoires de la Société mathématique de France 1 (1999): 1–140. http://dx.doi.org/10.24033/msmf.389.
Full textDugger, Daniel, and David I. Spivak. "Mapping spaces in quasi-categories." Algebraic & Geometric Topology 11, no. 1 (January 7, 2011): 263–325. http://dx.doi.org/10.2140/agt.2011.11.263.
Full textJoyal, A. "Quasi-categories and Kan complexes." Journal of Pure and Applied Algebra 175, no. 1-3 (November 2002): 207–22. http://dx.doi.org/10.1016/s0022-4049(02)00135-4.
Full textRIEHL, EMILY. "On the structure of simplicial categories associated to quasi-categories." Mathematical Proceedings of the Cambridge Philosophical Society 150, no. 3 (March 11, 2011): 489–504. http://dx.doi.org/10.1017/s0305004111000053.
Full textMaehara, Yuki. "Inner horns for 2-quasi-categories." Advances in Mathematics 363 (March 2020): 107003. http://dx.doi.org/10.1016/j.aim.2020.107003.
Full textSchmitt, Vincent. "Enriched Categories and Quasi-uniform Spaces." Electronic Notes in Theoretical Computer Science 73 (October 2004): 165–205. http://dx.doi.org/10.1016/j.entcs.2004.08.009.
Full textDissertations / Theses on the topic "Quasi-categories"
Iragi, Minani. "Quasi-uniform and syntopogenous structures on categories." University of the Western Cape, 2019. http://hdl.handle.net/11394/7081.
Full textIn a category C with a proper (E; M)-factorization system for morphisms, we further investigate categorical topogenous structures and demonstrate their prominent role played in providing a uni ed approach to the theory of closure, interior and neighbourhood operators. We then introduce and study an abstract notion of C asz ar's syntopogenous structure which provides a convenient setting to investigate a quasi-uniformity on a category. We demonstrate that a quasi-uniformity is a family of categorical closure operators. In particular, it is shown that every idempotent closure operator is a base for a quasi-uniformity. This leads us to prove that for any idempotent closure operator c (interior i) on C there is at least a transitive quasi-uniformity U on C compatible with c (i). Various notions of completeness of objects and precompactness with respect to the quasi-uniformity de ned in a natural way are studied. The great relationship between quasi-uniformities and closure operators in a category inspires the investigation of categorical quasi-uniform structures induced by functors. We introduce the continuity of a C-morphism with respect to two syntopogenous structures (in particular with respect to two quasi-uniformities) and utilize it to investigate the quasiuniformities induced by pointed and copointed endofunctors. Amongst other things, it is shown that every quasi-uniformity on a re ective subcategory of C can be lifted to a coarsest quasi-uniformity on C for which every re ection morphism is continuous. The notion of continuity of functors between categories endowed with xed quasi-uniform structures is also introduced and used to describe the quasi-uniform structures induced by an M- bration and a functor having a right adjoint.
Barnes, Gwendolyn Elizabeth. "Nonassociative geometry in representation categories of quasi-Hopf algebras." Thesis, Heriot-Watt University, 2016. http://hdl.handle.net/10399/3294.
Full textNichols-Barrer, Joshua Paul. "On quasi-categories as a foundation for higher algebraic stacks." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/39088.
Full textIncludes bibliographical references (p. 139-140).
We develop the basic theory of quasi-categories (a.k.a. weak Kan complexes or ([infinity], 1)- categories as in [BV73], [Joy], [Lur06]) from first principles, i.e. without reference to model categories or other ideas from algebraic topology. Starting from the definition of a quasi-category as a simplicial set satisfying the inner horn-filling condition, we define and prove various properties of quasi-categories which are direct generalizations of categorical analogues. In particular, we look at functor quasi-categories, Hom-spaces, isomorphisms, equivalences between quasi-categories, and limits. In doing so, we employ exclusively combinatorial methods, as well as adapting an idea of Makkai's ("very subjective morphisms," what turn out in this case to be simply trivial Kan fibrations) to get a handle on various notions of equivalence. We then begin to discuss a new approach to the theory of left (or right) fibrations, wherein the quasi-category of all left fibrations over a given base S is described simply as the large simplicial set whose n-simplices consist of all left fibrations over S x [delta]n.
(cont.) We conjecture that this large simplicial set is a quasi-category, and moreover that the case S = * gives an equivalent quasi-category to the commonly-held quasi-category of spaces; we offer some steps towards proving this. Finally, assuming the conjecture true, we apply it to give simple descriptions of limits in this quasi-category, as well as a straightforward construction of a Yoneda functor for quasi-categories which we then prove is fully faithful.
by Joshua Paul Nicholas-Barrer.
Ph.D.
Columbus, Tobias [Verfasser], and F. [Akademischer Betreuer] Januszewski. "2-Categorical Aspects of Quasi-Categories / Tobias Columbus ; Betreuer: F. Januszewski." Karlsruhe : KIT-Bibliothek, 2018. http://d-nb.info/1166234207/34.
Full textChan, Aaron. "Yoneda algebras of quasi-hereditary algebras, and simple-minded systems of triangulated categories." Thesis, University of Aberdeen, 2014. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=211057.
Full textHenker, Hannah. "Module Categories over Quasi-Hopf Algebras and Weak Hopf Algebras and the Projectivity of Hopf Modules." Diss., lmu, 2011. http://nbn-resolving.de/urn:nbn:de:bvb:19-131489.
Full textHenker, Hannah [Verfasser], and Hans-Jürgen [Akademischer Betreuer] Schneider. "Module Categories over Quasi-Hopf Algebras and Weak Hopf Algebras and the Projectivity of Hopf Modules / Hannah Henker. Betreuer: Hans-Jürgen Schneider." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2011. http://d-nb.info/1015048188/34.
Full textAcioly, Benedito Melo. "Fundamentação computacional da matemática intervalar." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 1991. http://hdl.handle.net/10183/18234.
Full textThe Interval Mathematics is based on two fundamental concepts, the inclusion-monotonicity of its arithmetics and a Hausdorff topology defined on the interval set. The property of inclusion-monotonicity has risen as an useful tool for elaboration of interval algorithms. In contrast, because the Hausdorff topology does not reflect the logical features of that property, the interval mathematics did not, permit the elaboration of a logic whose model is this interval mathematics with that topology. This logic should be necessary to the foundation of the interval mathematics as a Real Analysis Theory of Algorithms. This thesis shows that the theory of algorithms refered above was not possible because of the incompatibility between the property of inclusion-monotonicity and the Hausdorff topology. By knowing the shortcoming of this topology, the next step is to set it aside and to define a new topology - the Scott topology - compatible with the refered property in the sense that every result, obtained via the logic is also obtainable via the topology and vice-versa. After changing the topology the resulting theory has two basic features. The Interval Functional Analysis has got the most, interesting properties belonging to Real Analysis, supressing the shortcomings of previous interval analysis. The elaboration of the inclusion-monotonicity property allows one to construct a geometric logic and a lambda theory whose model is this new interval mathematics. From this logic and from the lambda theory a constructive theory is then elaborated, similar to Martin-Löf type theory, being possible then to reason about programs of this new interval mathematics. This means the possibility of automatically checking the correctness of programs of interval mathematics. This new approach assumes only the concept, of rational numbers beyond, of course, the set theory language. It is constructed an interval system similar to the real system. A general notion of the concept of Dedekind cut was necessary to reach that. The resulting construction is an ordered system which will be called quasi-field, in opposition to the real numbers system which is algebraic. Thus, in the interval system the order is an intrinsic concept, unlike the real numbers sistems whose order does not belong to the algebraic system. The logic of this new interval mathematics is a categorical logic. This means that, every result got for basic domains applies also to cartesian product, disjoint union, function spaces, etc., of these domains. This simplifies considerably the new theory. An example of this simplication is given by the definition of derivative, a concept not, derived by the classical interval theory.
Dimuro, Gracaliz Pereira. "Domínios intervalares da matemática computacional." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 1991. http://hdl.handle.net/10183/24890.
Full textThe importance of Interval Theory for scientific computation is emphasized. A review of the Classical Theory is macle, including a discussion about some incompatibities that cause problems in developing interval algorithms. A new approach to the Interval Theory is developed in the light of the Theory of Domains and according to the ideas by Acióly [ACI 89], getting the Interval Domains of Computational Mathematics. It is introduced a topology (Scott Topology), which is associated with the idea of approximation, generating an information order, that is, for any intervals x and y one says that if x -c y, then "the information given by y is better or at least equal than the one given by x". One proves that this information order induces a To topology (Scott's topology) which is more suitable for a computation theory than that of Hausdorff introduced by Moore [MOO 66]. This approach has the advantage of being both of constructive logic and computational. Each real number is approximated by intervals with rational bounds, named information intervals of the Information Space II(Q), eliminating the infinite regression found in the classical approach. One can say that every real a is the supreme of a chain of rational intervals. Then, the real numbers are the total elements of a continuous domain, named the Domain of the Partial Real Intervals, whose basis is the information space II (Q). Each continuous function in the Real Analysis is the limit of sequences of continuous functions among any elements which belong to the base of the domain. In these same domains, each continuous function is monotonic on the base and it is completely represented by finite terms. It is introduced a quasi-metric that leads to a compatible topology and supplies the quantitative properties. An arithmetic, some approximation criteria, the concepts of mean point interval, absolute value interval and width interval are developed and set operations are added. The ideas of interval functions and the inclusion of ranges of functions are also presented, and a continuous natural interval extension is obtained.
Silva, Willian Ribeiro Valencia da. "Generalised enriched categories: exponentiation and injectivity." Doctoral thesis, 2019. http://hdl.handle.net/10316/88801.
Full textDentre as soluções clássicas para o problema da categoria Top dos espaços topológicos e aplicações contínuas não ser cartesiana fechada, nesta tese estamos interessados em espaços compactamente gerados, espaços equilógicos, e espaços quasi-topológicos; trabalhando com categorias enriquecidas generalizadas, que permitem um tratamento unificado de uma gama de categorias da Topologia e da Análise (e.g., espaços ordenados, métricos, topológicos e de aproximação), generalizamos estes três conceitos de Top para (T,V)-Cat. Para tal finalidade, começamos por estudar a relação entre os (T,V)-espaços injectivos e exponenciáveis, e por provar que (T,V)-Cat é uma categoria fracamente localmente cartesiana fechada. Em seguida, introduzimos a categoria (T,V)-Equ dos (T,V)-espaços equilógicos e seus morfismos, que provamos ser uma categoria cartesiana fechada. Ademais, estudamos uma relação generalizada entre os (T,V)-espaços equilógicos e os completamentos regular e exato de (T,V)-Cat, culminando no fato de que (T,V)-Equ é um quasitopos. Por fim, transportamos os conceitos de espaços C -gerados e espaços quasi-topológicos para (T,V)-Cat. Provamos que os (T,V)-espaços C -gerados formam uma subcategoria plena coreflectiva cartesiana fechada de (T,V)-Cat; exemplos de tais espaços incluem (T,V)-espaços compactamente gerados e (T,V)-espaços de Alexandroff. Para os últimos, fazemos algumas considerações que direcionam a uma generalização da equivalência entre os espaços topológicos de Alexandroff e os conjuntos ordenados. Quanto aos quasi-(T,V)-espaços, eles formam a categoria Qs(T,V)-Cat, a qual provamos ser cartesiana fechada e topológica sobre a categoria Set dos conjuntos e aplicações. Generalizamos também para (T,V)-Cat uma relação interessante entre espaços quasi-topológicos e espaços compactamente gerados.
Among the classical solutions to the problem of non-cartesian closedness of the category Top of topological spaces and continuous maps, in this thesis we are interested in compactly generated spaces, equilogical spaces, and quasi-topological spaces; working with generalised enriched categories, which allow for a unified treatment of a range of categories from Topology and Analysis (e.g., ordered, metric, topological, and approach spaces), we generalise these three concepts from Top to (T,V)-Cat. In order to do so, we start by studying the relation between injective and exponentiable (T,V)- spaces, and by proving that (T,V)-Cat is a weakly locally cartesian closed category. Then we introduce the category (T,V)-Equ of equilogical (T,V)-spaces and its morphisms, which we prove to be a cartesian closed category. Moreover, we study a generalised relation between equilogical (T,V)-spaces and the regular and exact completions of (T,V)-Cat, culminating in the fact that (T,V)-Equ is a quasitopos. We finish by carrying the concepts of C -generated spaces and quasi-topological spaces into (T,V)-Cat. We prove that C -generated (T,V)-spaces form a fully coreflective cartesian closed subcategory of (T,V)-Cat; examples of such spaces include compactly generated (T,V)-spaces and Alexandroff (T,V)-spaces. For the latter, we make some discussions towards a generalisation of the equivalence between Alexandroff topological spaces and ordered sets. Concerning quasi-(T,V)- spaces, they form the category Qs(T,V)-Cat which we prove to be cartesian closed and topological over the category Set of sets and maps. We also generalise to (T,V)-Cat an interesting relation between quasi-topological spaces and compactly generated spaces.
Books on the topic "Quasi-categories"
Dlab, Vlastimil. Quasi-hereditary algebras. Ottawa, Ont., Canada: Dept. of Mathematics and Statistics, Carleton University, 1988.
Find full textPolcino, Milies César, ed. Groups, algebras and applications: XVIII Latin American Algebra Colloquium, August 3-8, 2009, São Pedro, SP, Brazil. Providence, R.I: American Mathematical Society, 2011.
Find full textSchneiders, Jean-Pierre. Quasi-Abelian Categories and Sheaves. Societe Mathematique De France, 1999.
Find full textHrushovski, Ehud, and François Loeser. An equivalence of categories. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0013.
Full textHugh, Beale, Bridge Michael, Gullifer Louise, and Lomnicka Eva. Part II Description of Interests, 7 Financing Devices Involving the Transfer or Retention of Title. Oxford University Press, 2018. http://dx.doi.org/10.1093/law/9780198795568.003.0007.
Full textKageyama, Taro, Peter E. Hook, and Prashant Pardeshi, eds. Verb-Verb Complexes in Asian Languages. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198759508.001.0001.
Full textKurebito, Megumi. Koryak. Edited by Michael Fortescue, Marianne Mithun, and Nicholas Evans. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199683208.013.46.
Full textHuybrechts, D. Derived Categories: A Quick Tour. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0002.
Full textWiggins, Osborne P., and Michael Alan Schwartz. Phenomenology and psychopathology: in search of a method. Oxford University Press, 2013. http://dx.doi.org/10.1093/med/9780199609253.003.0002.
Full textRodenhäuser, Tilman. Organizing Rebellion. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821946.001.0001.
Full textBook chapters on the topic "Quasi-categories"
Botha, Suzette G. "Quasi-Ideals and Bi-Ideals in Categories." In Nearrings, Nearfields and K-Loops, 219–24. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-009-1481-0_13.
Full textTorii, Takeshi. "On Quasi-Categories of Comodules and Landweber Exactness." In Bousfield Classes and Ohkawa's Theorem, 325–80. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1588-0_11.
Full textMinati, Gianfranco, and Eliano Pessa. "Prospective New Conceptual Categories." In From Collective Beings to Quasi-Systems, 25–62. Boston, MA: Springer US, 2018. http://dx.doi.org/10.1007/978-1-4939-7581-5_2.
Full textBirks, Peter. "The Quasi Categories." In The Roman Law of Obligations, 248–63. Oxford University Press, 2014. http://dx.doi.org/10.1093/acprof:oso/9780198719274.003.0011.
Full text"Quasi-Hopf Bimodule Categories." In Quasi-Hopf Algebras, 225–52. Cambridge University Press, 2019. http://dx.doi.org/10.1017/9781108582780.007.
Full text"Monoidal and Braided Categories." In Quasi-Hopf Algebras, 1–54. Cambridge University Press, 2019. http://dx.doi.org/10.1017/9781108582780.002.
Full text"Yetter–Drinfeld Module Categories." In Quasi-Hopf Algebras, 305–52. Cambridge University Press, 2019. http://dx.doi.org/10.1017/9781108582780.009.
Full text"Algebras and Coalgebras in Monoidal Categories." In Quasi-Hopf Algebras, 55–102. Cambridge University Press, 2019. http://dx.doi.org/10.1017/9781108582780.003.
Full textHill, Christopher S. "Percepts and Concepts." In Perceptual Experience, 189—C8.P85. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192867766.003.0008.
Full textBalibar, Étienne. "On Universalism." In On Universals, translated by Joshua David Jordan, 84–95. Fordham University Press, 2020. http://dx.doi.org/10.5422/fordham/9780823288564.003.0004.
Full textConference papers on the topic "Quasi-categories"
Wallner, Stefan, Jose Antonio Garcia Molina, Gustavo Lopez Risueno, Jorg Hahn, Jean Jeaques Floch, Francis Soualle, Till Schmitt, et al. "Novel Concepts on GNSS Signal Design serving Emerging GNSS User Categories: Quasi-Pilot Signal." In 2020 European Navigation Conference (ENC). IEEE, 2020. http://dx.doi.org/10.23919/enc48637.2020.9317352.
Full textRoy, Rajkumar, Ian C. Parmee, and Graham Purchase. "Sensitivity Analysis of Engineering Designs Using Taguchi’s Methodology." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/dac-1455.
Full textRuiz Romera, D., M. Liebeherr, O¨ Gu¨ngo¨r, D. Quidort, and S. Ehlers. "Development of X100 on Coil and First Weldability Assessment." In 2010 8th International Pipeline Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ipc2010-31636.
Full textSmirnova, L. M., S. G. Urazova, F. A. Mindubayeva, L. V. Kovalenko, and N. M. Kharissova. "The experience of organizing inclusive education of children and persons limited health by means of physical culture." In VIII Vserossijskaja konferencija s mezhdunarodnym uchastiem «Mediko-fiziologicheskie problemy jekologii cheloveka». Publishing center of Ulyanovsk State University, 2021. http://dx.doi.org/10.34014/mpphe.2021-183-186.
Full textKoulocheris, Dimitris, Vasilis Dertimanis, and Constantinos Spentzas. "Optimum Positioning of Tank Mountings in a Fixed Tank Vehicle." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58414.
Full textAbraham, J. P., E. M. Sparrow, J. C. K. Tong, and W. J. Minkowycz. "Intermittent Flow Modeling: Part 2—Time-Varying Flows and Flows in Variable Area Ducts." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22696.
Full textSchoefs, Franck, and Hamed Ameryoun. "Probabilistic Modeling of the Bio-Colonization Effects on Hydrodynamic Forces With Several Combinations of Sea-State Condition: A Study on Jacket-Platforms in the Gulf of Guinea." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-11100.
Full textStrong, Philip M. "Influence of Passenger Car Suspension Design on Carbody Roll and on Wheel Unloading on Curves at Unbalance Speeds." In IEEE/ASME/ASCE 2008 Joint Rail Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/jrc2008-63038.
Full textShah, Pranav D., Jose Daniel D. Melo, Carlos A. Cimini, and Jeffrey T. Fong. "Composite Material Property Database Using Smooth Specimens to Generate Design Allowables With Uncertainty Estimation." In ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/pvp2010-26145.
Full textReports on the topic "Quasi-categories"
Ashley, Caitlyn, Elizabeth Spencer Berthiaume, Philip Berzin, Rikki Blassingame, Stephanie Bradley Fryer, John Cox, E. Samuel Crecelius, et al. Law and Policy Resource Guide: A Survey of Eminent Domain Law in Texas and the Nation. Edited by Gabriel Eckstein. Texas A&M University School of Law Program in Natural Resources Systems, 2017. http://dx.doi.org/10.37419/eenrs.eminentdomainguide.
Full textParsons, Helen M., Hamdi I. Abdi, Victoria A. Nelson, Amy M. Claussen, Brittin L. Wagner, Karim T. Sadak, Peter B. Scal, Timothy J. Wilt, and Mary Butler. Transitions of Care From Pediatric to Adult Services for Children With Special Healthcare Needs. Agency for Healthcare Research and Quality (AHRQ), May 2022. http://dx.doi.org/10.23970/ahrqepccer255.
Full textLewis, Dustin, Radhika Kapoor, and Naz Modirzadeh. Advancing Humanitarian Commitments in Connection with Countering Terrorism: Exploring a Foundational Reframing concerning the Security Council. Harvard Law School Program on International Law and Armed Conflict, December 2021. http://dx.doi.org/10.54813/uzav2714.
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