[图书][B] The theory of countable Borel equivalence relations
AS Kechris - 2024 - pma.caltech.edu
The theory of definable equivalence relations has been a very active area of research in
descriptive set theory during the last three decades. It serves as a foundation of a theory of …
descriptive set theory during the last three decades. It serves as a foundation of a theory of …
[图书][B] Rigidity theorems for actions of product groups and countable Borel equivalence relations
G Hjorth, AS Kechris - 2005 - books.google.com
Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility,
and measures preserving group actions considered up to orbit equivalence. This title …
and measures preserving group actions considered up to orbit equivalence. This title …
Topology and descriptive set theory
AS Kechris - Topology and its Applications, 1994 - Elsevier
This paper consists essentially of the text of a series of four lectures given by the author in
the Summer Conference on General Topology and Applications, Amsterdam, August 1994 …
the Summer Conference on General Topology and Applications, Amsterdam, August 1994 …
New dichotomies for Borel equivalence relations
G Hjorth, AS Kechris - Bulletin of Symbolic Logic, 1997 - cambridge.org
We announce two new dichotomy theorems for Borel equivalence relations, and present the
results in context by giving an overview of related recent developments. § 1. Introduction. For …
results in context by giving an overview of related recent developments. § 1. Introduction. For …
Measurable group theory
Y Shalom - 2005 - ems.press
Measurable group theory aims at understanding how much of the algebraic structure of a
countable group can be recovered solely from the equivalence relation of “being in the same …
countable group can be recovered solely from the equivalence relation of “being in the same …
[图书][B] Classification and orbit equivalence relations
G Hjorth - 2000 - books.google.com
Actions of Polish groups are ubiquitous in mathematics. In certain branches of ergodic
theory and functional analysis, one finds a systematic study of the group of measure …
theory and functional analysis, one finds a systematic study of the group of measure …
On the reducibility order between Borel equivalence relations
A Louveau - Studies in Logic and the Foundations of Mathematics, 1995 - Elsevier
Publisher Summary This chapter focuses on the reducibility order between Borel
equivalence relations. An equivalence relation E on a set X is a Borel equivalence relation if …
equivalence relations. An equivalence relation E on a set X is a Borel equivalence relation if …
Countable Borel equivalence relations
S Jackson, AS Kechris, A Louveau - Journal of mathematical logic, 2002 - World Scientific
COUNTABLE BOREL EQUIVALENCE RELATIONS Page 1 May 2, 2002 17:8 WSPC/153-JML
00013 Journal of Mathematical Logic, Vol. 2, No. 1 (2002) 1–80 c World Scientific Publishing …
00013 Journal of Mathematical Logic, Vol. 2, No. 1 (2002) 1–80 c World Scientific Publishing …
Countable sections for locally compact group actions
AS Kechris - Ergodic theory and dynamical systems, 1992 - cambridge.org
It has been shown by J. Feldman, P. Hahn and CC Moore that every non-singular action of a
second countable locally compact group has a countable (in fact so-called lacunary) …
second countable locally compact group has a countable (in fact so-called lacunary) …
[图书][B] Generalized descriptive set theory and classification theory
SD Friedman, T Hyttinen, V Kulikov - 2014 - ams.org
Descriptive set theory is mainly concerned with studying subsets of the space of all
countable binary sequences. In this paper we study the generalization where countable is …
countable binary sequences. In this paper we study the generalization where countable is …