Littérature scientifique sur le sujet « Borel complexity of equivalence relations »
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Articles de revues sur le sujet "Borel complexity of equivalence relations"
Gao, Su, et Michael Ray Oliver. « Borel complexity of isomorphism between quotient Boolean algebras ». Journal of Symbolic Logic 73, no 4 (décembre 2008) : 1328–40. http://dx.doi.org/10.2178/jsl/1230396922.
Texte intégralMARKS, ANDREW. « The universality of polynomial time Turing equivalence ». Mathematical Structures in Computer Science 28, no 3 (13 juillet 2016) : 448–56. http://dx.doi.org/10.1017/s0960129516000232.
Texte intégralDing, Longyun, et Su Gao. « Diagonal actions and Borel equivalence relations ». Journal of Symbolic Logic 71, no 4 (décembre 2006) : 1081–96. http://dx.doi.org/10.2178/jsl/1164060445.
Texte intégralKRUPIŃSKI, KRZYSZTOF, ANAND PILLAY et SŁAWOMIR SOLECKI. « BOREL EQUIVALENCE RELATIONS AND LASCAR STRONG TYPES ». Journal of Mathematical Logic 13, no 02 (31 octobre 2013) : 1350008. http://dx.doi.org/10.1142/s0219061313500086.
Texte intégralKECHRIS, ALEXANDER S., ANDRÉ NIES et KATRIN TENT. « THE COMPLEXITY OF TOPOLOGICAL GROUP ISOMORPHISM ». Journal of Symbolic Logic 83, no 3 (septembre 2018) : 1190–203. http://dx.doi.org/10.1017/jsl.2018.25.
Texte intégralLecomte, Dominique. « On the complexity of Borel equivalence relations with some countability property ». Transactions of the American Mathematical Society 373, no 3 (10 décembre 2019) : 1845–83. http://dx.doi.org/10.1090/tran/7942.
Texte intégralCalderoni, Filippo, Heike Mildenberger et Luca Motto Ros. « Uncountable structures are not classifiable up to bi-embeddability ». Journal of Mathematical Logic 20, no 01 (6 septembre 2019) : 2050001. http://dx.doi.org/10.1142/s0219061320500014.
Texte intégralHJORTH, GREG. « TREEABLE EQUIVALENCE RELATIONS ». Journal of Mathematical Logic 12, no 01 (juin 2012) : 1250003. http://dx.doi.org/10.1142/s0219061312500031.
Texte intégralJACKSON, S., A. S. KECHRIS et A. LOUVEAU. « COUNTABLE BOREL EQUIVALENCE RELATIONS ». Journal of Mathematical Logic 02, no 01 (mai 2002) : 1–80. http://dx.doi.org/10.1142/s0219061302000138.
Texte intégralRosendal, Christian. « Cofinal families of Borel equivalence relations and quasiorders ». Journal of Symbolic Logic 70, no 4 (décembre 2005) : 1325–40. http://dx.doi.org/10.2178/jsl/1129642127.
Texte intégralThèses sur le sujet "Borel complexity of equivalence relations"
Robert, Simon. « Une approche par les groupes amples pour l’équivalence orbitale des actions minimales de Z sur l’espace de Cantor ». Electronic Thesis or Diss., Lyon 1, 2023. http://www.theses.fr/2023LYO10142.
Texte intégralThis thesis takes place in the context of topological dynamics, a branch of dynamical systems concerned with the asymptotic qualitative behavior of continuous transformations arising from a group or semigroup action on a usually compact metric space. For example, a classic question might be whether a dynamical system admits recurrent points, i.e. points that will return arbitrarily close to their starting point infinitely often under the dynamics. Often, because of their qualitative and asymptotic nature, these properties do not depend precisely on the system but rather on the orbits of the points, i.e. the positions they will reach. Hence the notion of orbit equivalence at the heart of this thesis, which consists in considering that, after identification of the underlying spaces, two systems whose points all have the same orbits would be "qualitatively the same". In the 1990s, Giordano Putnam and Skau used homological algebra to establish a classification up to orbit equivalence of minimal dynamical systems arising from Z-actions on a Cantor space in terms of both full groups and invariant measures. This result shows in particular that there are non-countably many such different systems up to orbit equivalence, which contrasts quite strongly with the framework of ergodic theory, a very close field concerned with measured dynamical systems, in which the combination of two famous results, one due to Ornstein and Weiss and the other to Dye, shows that there is only one amenable group action on a standard probability space up to orbit equivalence. My main contribution in the present manuscript is to bring an elementary perpective and dynamical proofs to the classifications obtained by Giordano, Putnam and Skau (the one on orbital equivalence mentioned above as well as another one dealing with a variation called strong orbital equivalence), both in order to understand them from another perspective and to try to extend them to other contexts. Along the way, I will also prove a result of Borelian complexity, namely that the isomorphism relation of countable, locally finite and simple groups and a universal relation arising from a Borelian action of S_\infty, and improve a result of Krieger about the conjugation of ample groups
Craft, Colin N. « Applications of a Model-Theoretic Approach to Borel Equivalence Relations ». Thesis, University of North Texas, 2019. https://digital.library.unt.edu/ark:/67531/metadc1538768/.
Texte intégralCotton, Michael R. « Abelian Group Actions and Hypersmooth Equivalence Relations ». Thesis, University of North Texas, 2019. https://digital.library.unt.edu/ark:/67531/metadc1505289/.
Texte intégralHart, Robert. « A Non-commutative *-algebra of Borel Functions ». Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/23235.
Texte intégralMartin, Tiffani L. « Does Stimulus Complexity Affect Acquisition of Conditional Discriminations and the Emergence of Derived Relations ? » Thesis, University of North Texas, 2009. https://digital.library.unt.edu/ark:/67531/metadc12160/.
Texte intégralSofronidis, Nikolaos Efstathiou. « Topics in descriptive set theory related to equivalence relations, complex borel and analytic sets ». Thesis, 1999. https://thesis.library.caltech.edu/10021/1/Sofronidis_NE_1999.pdf.
Texte intégralThe purpose of this doctoral dissertation is first to show that certain kinds of invariants for measures, self-adjoint and unitary operators are as far from complete as possible and second to give new natural examples of complex Borel and analytic sets originating from Analysis and Geometry.
The dissertation is divided in two parts.
In the first part we prove that the measure equivalence relation and certain of its most characteristic subequivalence relations are generically S∞- ergodic and unitary conjugacy of self-adjoint and unitary operators is generically turbulent.
In the second part we prove that for any 0 ≤ α < ∞, the set of entire functions whose order is equal to α is ∏03-complete and the set of all sequences of entire functions whose orders converge to α is ∏05-complete. We also prove that given any line in the plane and any cardinal number 1 ≤ n ≤ N0, the set of continuous paths in the plane tracing curves which admit at least n tangents parallel to the given line is Σ11-complete and the set of differentiable paths of class C2 in the plane admitting a canonical parameter in [0,1] and tracing curves which have at least n vertices is also Σ11-complete.
Uzcátegui, Carlos. « Smooth sets for borel equivalence relations and the covering property for σ-ideals of compact sets ». Thesis, 1990. https://thesis.library.caltech.edu/8783/2/Uzcategui_c_1990.pdf.
Texte intégralThis thesis is divided into three chapters. In the first chapter we study the smooth sets with respect to a Borel equivalence realtion E on a Polish space X. The collection of smooth sets forms σ-ideal. We think of smooth sets as analogs of countable sets and we show that an analog of the perfect set theorem for Σ11 sets holds in the context of smooth sets. We also show that the collection of Σ11 smooth sets is ∏11 on the codes. The analogs of thin sets are called sparse sets. We prove that there is a largest ∏11 sparse set and we give a characterization of it. We show that in L there is a ∏11 sparse set which is not smooth. These results are analogs of the results known for the ideal of countable sets, but it remains open to determine if large cardinal axioms imply that ∏11 sparse sets are smooth. Some more specific results are proved for the case of a countable Borel equivalence relation. We also study I(E), the σ-ideal of closed E-smooth sets. Among other things we prove that E is smooth iff I(E) is Borel.
In chapter 2 we study σ-ideals of compact sets. We are interested in the relationship between some descriptive set theoretic properties like thinness, strong calibration and the covering property. We also study products of σ-ideals from the same point of view. In chapter 3 we show that if a σ-ideal I has the covering property (which is an abstract version of the perfect set theorem for Σ11 sets), then there is a largest ∏11 set in Iint (i.e., every closed subset of it is in I). For σ-ideals on 2ω we present a characterization of this set in a similar way as for C1, the largest thin ∏11 set. As a corollary we get that if there are only countable many reals in L, then the covering property holds for Σ12 sets.
Doucha, Michal. « Forcing, deskriptivní teorie množin, analýza ». Doctoral thesis, 2013. http://www.nusl.cz/ntk/nusl-329275.
Texte intégralLivres sur le sujet "Borel complexity of equivalence relations"
Kanoveĭ, V. G. Borel equivalence relations : Structure and classification. Providence, R.I : American Mathematical Society, 2008.
Trouver le texte intégralHjorth, Greg. Rigidity theorems for actions of product groups and countable Borel equivalence relations. Providence, RI : American Mathematical Society, 2005.
Trouver le texte intégralGeometric Set Theory. American Mathematical Society, 2020.
Trouver le texte intégralChapitres de livres sur le sujet "Borel complexity of equivalence relations"
Kanovei, Vladimir. « Borel ideals ». Dans Borel Equivalence Relations, 41–50. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/04.
Texte intégralHjorth, Greg. « Borel Equivalence Relations ». Dans Handbook of Set Theory, 297–332. Dordrecht : Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-5764-9_5.
Texte intégralKanovei, Vladimir. « Hyperfinite equivalence relations ». Dans Borel Equivalence Relations, 95–106. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/09.
Texte intégralKanovei, Vladimir. « Summable equivalence relations ». Dans Borel Equivalence Relations, 181–90. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/16.
Texte intégralKanovei, Vladimir. « Pinned equivalence relations ». Dans Borel Equivalence Relations, 203–9. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/18.
Texte intégralKanovei, Vladimir. « Reduction of Borel equivalence relations to Borel ideals ». Dans Borel Equivalence Relations, 211–21. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/19.
Texte intégralKanovei, Vladimir. « Introduction ». Dans Borel Equivalence Relations, 1–5. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/01.
Texte intégralKanovei, Vladimir. « Descriptive set theoretic background ». Dans Borel Equivalence Relations, 7–18. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/02.
Texte intégralKanovei, Vladimir. « Some theorems of descriptive set theory ». Dans Borel Equivalence Relations, 19–39. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/03.
Texte intégralKanovei, Vladimir. « Introduction to equivalence relations ». Dans Borel Equivalence Relations, 51–61. Providence, Rhode Island : American Mathematical Society, 2008. http://dx.doi.org/10.1090/ulect/044/05.
Texte intégralActes de conférences sur le sujet "Borel complexity of equivalence relations"
Hjorth, Greg. « Countable Borel equivalence relations, Borel reducibility, and orbit equivalence ». Dans 10th Asian Logic Conference. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814293020_0007.
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