Kechris, Alexander S. (1992) Countable sections for locally compact group actions. Ergodic Theory and Dynamical Systems, 12 (2). pp. 283-295. ISSN 0143-3857. doi:10.1017/S0143385700006751. https://resolver.caltech.edu/CaltechAUTHORS:20130516-154918991
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Abstract
It has been shown by J. Feldman, P. Hahn and C. C. Moore that every non-singular action of a second countable locally compact group has a countable (in fact so-called lacunary) complete measurable section. This is extended here to the purely Borel theoretic category, consisting of a Borel action of such a group on an analytic Borel space (without any measure). Characterizations of when an arbitrary Borel equivalence relation admits a countable complete Borel section are also established.
Item Type: | Article | ||||||||||||
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Additional Information: | © 1992 Cambridge University Press. Received 1 March 1991. Published online: 19 September 2008. Research partially supported by a NSF Grant DMS-9020153. | ||||||||||||
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Issue or Number: | 2 | ||||||||||||
DOI: | 10.1017/S0143385700006751 | ||||||||||||
Record Number: | CaltechAUTHORS:20130516-154918991 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130516-154918991 | ||||||||||||
Official Citation: | Alexander S. Kechris (1992). Countable sections for locally compact group actions. Ergodic Theory and Dynamical Systems, 12, pp 283-295. doi:10.1017/S0143385700006751. | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 38550 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 29 May 2013 18:28 | ||||||||||||
Last Modified: | 09 Nov 2021 23:38 |
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