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The Structure of Borel Equivalence Relations in Polish Spaces

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Set Theory of the Continuum

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 26))

Abstract

An exposition of recent work on Borel equivalence relations in Polish spaces is presented. This includes a general Glimm-Effros dichotomy for Borel equivalence relations and a study of countable Borel equivalence relations and their classification into subclasses such as smooth, hyperfinite, amenable, treeable etc.

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Author information

Authors and Affiliations

  1. Department of Mathematics, California Institute of Technology, 91125, Pasadena, CA, USA

    Alexander S. Kechris

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  1. Alexander S. Kechris
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Bar Ilan University, 52900, Ramatgan, Israel

    Haim Judah

  2. Department of Mathematics, Ohio University, 45701-2979, Athens, OH, USA

    Winfried Just

  3. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Hugh Woodin

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© 1992 Springer-Verlag New York, Inc.

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Kechris, A.S. (1992). The Structure of Borel Equivalence Relations in Polish Spaces. In: Judah, H., Just, W., Woodin, H. (eds) Set Theory of the Continuum. Mathematical Sciences Research Institute Publications, vol 26. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9754-0_7

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  • DOI: https://doi.org/10.1007/978-1-4613-9754-0_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9756-4

  • Online ISBN: 978-1-4613-9754-0

  • eBook Packages: Springer Book Archive

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