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The descriptive set theory of Polish group actions /
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 g...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Cambridge University Press,
1996.
|
| Colección: | London Mathematical Society lecture note series ;
232. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 007 | cr cnu---unuuu | ||
| 008 | 130408s1996 nyu ob 001 0 eng d | ||
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| 020 | |a 9781107362468 |q (electronic bk.) | ||
| 020 | |a 1107362466 |q (electronic bk.) | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Becker, Howard. | |
| 245 | 1 | 4 | |a The descriptive set theory of Polish group actions / |c Howard Becker, Alexander S. Kechris. |
| 260 | |a New York : |b Cambridge University Press, |c 1996. | ||
| 300 | |a 1 online resource (136 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 232 | |
| 504 | |a Includes bibliographical references (pages 122-131) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 505 | 8 | |a 3.4 The Glimm-Effros Dichotomy3.5 Universal equivalence relations; 4. INVARIANT MEASURES AND PARADOXICAL DECOMPOSITIONS; 4.1 Tarski's Theorem; 4.2 Countable decompositions; 4.3 Nadkarni's Theorem; 4.4 Proof of 4.2.1; 4.5 Sketch of proof of Nadkarni's Theorem; 4.6 Concluding remarks and problems; 5. BETTER TOPOLOGIES; 5.1 Finer topologies and Borel sets; 5.2 Topological realization of Borel G-spaces; 5.3 Topological realization of definable G-spaces; 5.4 Finer topologies on G-spaces; 6. MODEL THEORY AND THE VAUGHT CONJECTURE; 6.1 Background on the Vaught Conjecture | |
| 505 | 8 | |a 6.2 The Topological Vaught Conjecture6.3 Atomic models; 7. ACTIONS WITH BOREL ORBIT EQUIVALENCE RELATIONS; 7.1 Characterizations; 7.2 Some effective considerations; 7.3 Decompositions; 7.4 Tame groups; 7.5 Normalizers; 8. DEFINABLE CARDINALITY; 8.1 Orbit cardinality; 8.2 Orbit cardinality for specific groups; References; Index | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Polish spaces (Mathematics) | |
| 650 | 0 | |a Set theory. | |
| 650 | 6 | |a Espaces polonais (Mathématiques) | |
| 650 | 6 | |a Théorie des ensembles. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Polish spaces (Mathematics) |2 fast | |
| 650 | 7 | |a Set theory |2 fast | |
| 650 | 1 | 7 | |a Verzamelingen (wiskunde) |2 gtt |
| 650 | 1 | 7 | |a Lokaal compacte groepen. |2 gtt |
| 650 | 7 | |a Espaces polonais. |2 ram | |
| 650 | 7 | |a Ensembles, Théorie des. |2 ram | |
| 700 | 1 | |a Kechris, A. S., |d 1946- | |
| 776 | 0 | 8 | |i Print version: |a Becker, Howard. |t Descriptive set theory of Polish group actions. |d New York : Cambridge University Press, 1996 |z 0521576059 |w (DLC) 96011786 |w (OCoLC)34409827 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 232. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552380 |z Texto completo |
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