TY  - BOOK
AU  - Becker,Howard
AU  - Kechris,A.S.
TI  - The descriptive set theory of Polish group actions
T2  - London Mathematical Society lecture note series
SN  - 9780511735264 (ebook)
AV  - QA611.28 .B43 1996
U1  - 514/.32 20
PY  - 1996///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Polish spaces (Mathematics)
KW  - Set theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces
UR  - https://doi.org/10.1017/CBO9780511735264
ER  -