Becker, Howard and Kechris, Alexander S. (1996) Actions of Polish Groups. In: The Descriptive Set Theory of Polish Group Actions. London Mathematical Society Lecture Note Series. No.232. Cambridge University Press , Cambridge, pp. 13-32. ISBN 9780521576055. https://resolver.caltech.edu/CaltechAUTHORS:20180810-154314089
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Abstract
In §2.1 - 2.5, we survey some basic facts about Polish group actions, particularly continuous and Borel measurable actions on Polish spaces and standard Borel spaces, respectively. In §2.6 we establish the existence of universal actions for any Polish group, extending a result of Mackey and Varadarajan from the locally compact case. Finally, §2.7 is concerned with universal actions for S∞ and its closed subgroups.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 1996 Cambridge University Press. | ||||||
| Series Name: | London Mathematical Society Lecture Note Series | ||||||
| Issue or Number: | 232 | ||||||
| DOI: | 10.1017/CBO9780511735264.005 | ||||||
| Record Number: | CaltechAUTHORS:20180810-154314089 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180810-154314089 | ||||||
| Official Citation: | Becker, H., & Kechris, A. (1996). ACTIONS OF POLISH GROUPS. In The Descriptive Set Theory of Polish Group Actions (London Mathematical Society Lecture Note Series, pp. 13-32). Cambridge: Cambridge University Press. doi:10.1017/CBO9780511735264.005 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 88768 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 13 Aug 2018 15:39 | ||||||
| Last Modified: | 16 Nov 2021 00:29 |
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