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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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Generating dense subgroups of measure preserving transformations
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by V. S. Prasad PDF
Proc. Amer. Math. Soc. 83 (1981), 286-288 Request permission

Abstract:

Except for a set of first category, all pairs of measure preserving transformations generate a dense subgroup of $G$, the group of all invertible measure preserving transformations of the unit interval when $G$ has the weak topology.
References
    R. Grzaślewicz, Density theorems for measurable transformations (preprint).
  • Paul R. Halmos, Lectures on ergodic theory, Publications of the Mathematical Society of Japan, vol. 3, Mathematical Society of Japan, Tokyo, 1956. MR 0097489
    • J. Schreier and S. Ulam, Sur le nombre des générateurs d’un groupe topologique compact et connexe, Fund. Math. 24 (1935), 302-304.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 83 (1981), 286-288
  • MSC: Primary 28D05
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0624915-2
  • MathSciNet review: 624915