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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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The structure of $\omega$-limit sets of nonexpansive maps
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by Stephen F. Roehrig and Robert C. Sine PDF
Proc. Amer. Math. Soc. 81 (1981), 398-400 Request permission

Abstract:

It is shown that $\omega$-limit sets of nonexpansive maps carry the structure of monothetic topological groups. This fact is then used to answer a question of Edelstein.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 398-400
  • MSC: Primary 47H09
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0597649-0
  • MathSciNet review: 597649