Countable Borel equivalence relations and quotient Borel spaces

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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.
15 pages

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Logic, 03E15 (Primary); 28A05, 37A20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/106417

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512626
 http://arxiv.org/abs/math/0512626

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arXiv