{"product_id":"the-descriptive-set-theory-of-polish-group-actions-paperback-9780521576055","title":"The Descriptive Set Theory of Polish Group Actions (Paperback) 9780521576055","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Descriptive Set Theory of Polish Group Actions\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eResearch monograph on set theory by two of the world's leading researchers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHoward Becker (Author), Alexander S. Kechris (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521576055, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 5 December 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e152 pages\u003cbr\u003e22.8 x 15.2 x 1.1 cm, 0.218 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"This is an excellent book for anyone interested in Borel sets and analytic sets...in separable  spaces whose topologies can be given by complete metrics....\"   Arlan Ramsay, Journal of Symbolic Logic\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIn 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eDescriptive set theory\u003cbr\u003e 1. Polish groups\u003cbr\u003e 2. Actions of polish groups\u003cbr\u003e 3. Equivalence relations\u003cbr\u003e 4. Invariant measures and paradoxical decompositions\u003cbr\u003e 5. Better topologies\u003cbr\u003e 6. Model theory and the Vaught conjecture\u003cbr\u003e 7. Actions with Borel orbit equivalence relations\u003cbr\u003e 8. Definable cardinality\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Set theory [\u003ca title=\"See our other books on Set theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Set%20theory%20%5BPBCH%5D%22\"\u003ePBCH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005920989464,"sku":"9780521576055","price":50.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521576055i_1b1bf9a5-fc14-4860-9588-0f6bb25934d7.jpg?v=1691369972","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-descriptive-set-theory-of-polish-group-actions-paperback-9780521576055","provider":"Freshly Printed Books","version":"1.0","type":"link"}