Countable Borel equivalence relations and quotient Borel spaces

Details Countable Borel equivalence relations and quotient Borel spaces Countable Borel equivalence relations and quotient Borel spaces

2005-12-28

arxiv.org/abs/math/0512626v1

Mathematics

Logic

15 pages

Scientific paper

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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