Published June 1, 1992
| Published
Journal Article
Open
Countable sections for locally compact group actions
- Creators
- Kechris, Alexander S.
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.
Additional Information
© 1992 Cambridge University Press. Received 1 March 1991. Published online: 19 September 2008. Research partially supported by a NSF Grant DMS-9020153.Attached Files
Published - Kechris_1992p283.pdf
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Kechris_1992p283.pdf
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Additional details
- Eprint ID
- 38550
- Resolver ID
- CaltechAUTHORS:20130516-154918991
- DMS-9020153
- NSF
- Created
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2013-05-29Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field