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Selected Works of John D. Clemens
Article
The Smooth Ideal
Proceedings of the London Mathematical Society (2016)
  • John D. Clemens, Southern Illinois University
  • Clinton T. Conley, Carnegie Mellon University
  • Benjamin D. Miller, Universität Wien
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Abstract
We give a classical proof of the generalization of the characterization of smoothness to quotients of Polish spaces by Borel equivalence relations. As an application, we describe the extent to which any given Borel equivalence relation on a Polish space is encoded by the corresponding σ-ideal generated by the family of Borel sets on which it is smooth.
Disciplines
Publication Date
January, 2016
DOI
10.1112/plms/pdv069
Citation Information
John D. Clemens, Clinton T. Conley and Benjamin D. Miller. "The Smooth Ideal" Proceedings of the London Mathematical Society Vol. 112 Iss. 1 (2016) p. 57 - 80
Available at: http://works.bepress.com/john-clemens/5/