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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Borel automorphisms with no finite invariant measure
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by S. Eigen, A. Hajian and B. Weiss PDF
Proc. Amer. Math. Soc. 126 (1998), 3619-3623 Request permission

Abstract:

An uncountable family of non-isomorphic Borel automorphisms which do not preserve any finite measure is presented.
References
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Additional Information
  • S. Eigen
  • Affiliation: Department of Mathematics, Northeastern University, Boston, Massachusetts 02115
  • Email: eigen@neu.edu
  • A. Hajian
  • Email: hajian@neu.edu
  • B. Weiss
  • Affiliation: Department of Mathematics, The Hebrew University of Jerusalem, Institute of Mathematics, Givat Ram 91904 Jerusalem, Israel
  • MR Author ID: 181570
  • Email: weiss@math.huji.ac.il
  • Received by editor(s): January 15, 1997
  • Received by editor(s) in revised form: April 23, 1997
  • Communicated by: Mary Rees
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3619-3623
  • MSC (1991): Primary 28D99
  • DOI: https://doi.org/10.1090/S0002-9939-98-04489-X
  • MathSciNet review: 1458869