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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.

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Authors and Affiliations

  1. Department of Mathematics, The University of South Carolina, Columbia, SC 29208, USA. e-mail: becker@math.sc.edu, , , , , , US

    Howard Becker

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  1. Howard Becker
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Received: 17 April 2001 / Published online: 5 November 2002

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Becker, H. The restriction of a Borel equivalence relation to a sparse set. Arch. Math. Logic 42, 335–347 (2003). https://doi.org/10.1007/s001530200142

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  • DOI: https://doi.org/10.1007/s001530200142

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