Countable Borel equivalence relations and quotient Borel spaces

Roberto Pinciroli

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Countable Borel equivalence relations and quotient Borel spaces

Roberto Pinciroli

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Abstract

We consider countable Borel equivalence relations on quotient Borel spaces. We prove a generalization of the Feldman-Moore representation theorem, but provide some examples showing that other very simple properties of countable equivalence relations on standard Borel spaces may fail in the context of nonsmooth quotients.

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BibTeX RIS

Roberto Pinciroli. 2005-12-28. Countable Borel equivalence relations and quotient Borel spaces. https://arxiv.org/abs/math/0512626

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