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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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A compactum that cannot be an attractor of a self-map on a manifold
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by Bernd Günther PDF
Proc. Amer. Math. Soc. 120 (1994), 653-655 Request permission

Abstract:

A one-dimensional compactum (in fact, a certain solinoid) is constructed, such that there does not exist a self-map on a manifold having this compactum as attractor.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 653-655
  • MSC: Primary 55P55; Secondary 54H20, 57N25, 58F12
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1170544-3
  • MathSciNet review: 1170544