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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the pointwise implementation of near-actions
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by Asger Törnquist PDF
Trans. Amer. Math. Soc. 363 (2011), 4929-4944 Request permission

Abstract:

We show that the continuum hypothesis implies that every measure preserving near-action of a group on a standard Borel probability space $(X,\mu )$ has a pointwise implementation by Borel measure preserving automorphisms.
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Additional Information
  • Asger Törnquist
  • Affiliation: Kurt Gödel Research Center, University of Vienna, Währinger Strasse 25, 1090 Vienna, Austria
  • Email: asger@logic.univie.ac.at
  • Received by editor(s): October 4, 2009
  • Received by editor(s) in revised form: January 19, 2010
  • Published electronically: March 4, 2011
  • Additional Notes: This research was supported by the Austrian Science Foundation FWF grant no. P19375-N18.
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 4929-4944
  • MSC (2010): Primary 03E15, 37A05
  • DOI: https://doi.org/10.1090/S0002-9947-2011-05296-7
  • MathSciNet review: 2806696