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Countable sections for locally compact group actions

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.


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http://dx.doi.org/10.1017/S0143385700006751DOIUNSPECIFIED
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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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Funding AgencyGrant Number
NSFDMS-9020153
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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