Highly Influenced

@inproceedings{KECHRISt2013CountableSF, title={Countable sections for locally compact group actions}, author={ALEXANDER S. KECHRISt}, year={2013} }

- Published 2013

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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