, Volume 42, Issue 4, pp 335-347

The restriction of a Borel equivalence relation to a sparse set

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Abstract.

 We consider sparseness, smoothness and the Glimm-Effros Dichotomy for the restriction of a Borel equivalence relation on a Polish space to definable subsets of that space.

Received: 17 April 2001 / Published online: 5 November 2002