The Structure of Borel Equivalence Relations in Polish Spaces

  • Alexander S. Kechris
Conference paper

DOI: 10.1007/978-1-4613-9754-0_7

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

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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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Alexander S. Kechris
    • 1
  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA

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