02247nam a22003738a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002500195082001600220100002900236245009500265260005200360264005200412300005900464336002600523337002600549338003600575490006300611500007300674520088300747650003201630650001501662700003601677776003501713786001401748830006401762856004701826CR9780511735264UkCbUP20160624102301.0m|||||o||d||||||||cr||||||||||||100325s1996||||enk s ||1 0|eng|d a9780511735264 (ebook) z9780521576055 (paperback) aUkCbUPcUkCbUPerda00aQA611.28 b.B43 199600a514/.322201 aBecker, Howard,eauthor.14aThe Descriptive Set Theory of Polish Group Actions /cHoward Becker, Alexander S. Kechris. 1aCambridge :bCambridge University Press,c1996. 1aCambridge :bCambridge University Press,c1996. a1 online resource (152 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 232 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aIn 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. 0aPolish spaces (Mathematics) 0aSet theory1 aKechris, Alexander S.,eauthor.08iPrint version: z9780521576055 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 232.40uhttp://dx.doi.org/10.1017/CBO9780511735264