A selection theorem for group actions

John P. Burgess

doi:10.2140/pjm.1979.80.333

A selection theorem for group actions

John P. Burgess

Philosophy

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

Let a Polish group G act continuously on a Polish space X, inducing an equivalence relation E. Let E_y be the restriction of E to an invariant Borel subset Y of X. Assume E_y is countably separated. Then it has a Borel transversal.

Original language	English (US)
Pages (from-to)	333-336
Number of pages	4
Journal	Pacific Journal of Mathematics
Volume	80
Issue number	2
DOIs	https://doi.org/10.2140/pjm.1979.80.333
State	Published - 1979

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2140/pjm.1979.80.333

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abstract = "Let a Polish group G act continuously on a Polish space X, inducing an equivalence relation E. Let Ey be the restriction of E to an invariant Borel subset Y of X. Assume Ey is countably separated. Then it has a Borel transversal.",

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A selection theorem for group actions

Abstract

All Science Journal Classification (ASJC) codes

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