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...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1996
|
| Schriftenreihe: | London Mathematical Society lecture note series
232 |
| Links: | https://doi.org/10.1017/CBO9780511735264 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (136 Seiten) |
| ISBN: | 9780511735264 |
Internformat
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| 245 | 1 | 4 | |a The descriptive set theory of Polish group actions |c Howard Becker, Alexander S. Kechris |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 232 | |
| 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. | ||
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| spelling | Becker, Howard The descriptive set theory of Polish group actions Howard Becker, Alexander S. Kechris Cambridge Cambridge University Press 1996 1 Online-Ressource (136 Seiten) txt c cr London Mathematical Society lecture note series 232 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. Kechris, A. S. 1946- Erscheint auch als Druck-Ausgabe 9780521576055 |
| spellingShingle | Becker, Howard The descriptive set theory of Polish group actions |
| title | The descriptive set theory of Polish group actions |
| title_auth | The descriptive set theory of Polish group actions |
| title_exact_search | The descriptive set theory of Polish group actions |
| title_full | The descriptive set theory of Polish group actions Howard Becker, Alexander S. Kechris |
| title_fullStr | The descriptive set theory of Polish group actions Howard Becker, Alexander S. Kechris |
| title_full_unstemmed | The descriptive set theory of Polish group actions Howard Becker, Alexander S. Kechris |
| title_short | The descriptive set theory of Polish group actions |
| title_sort | descriptive set theory of polish group actions |
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