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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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On the product of stable diffeomorphisms
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by Atsuro Sannami PDF
Proc. Amer. Math. Soc. 88 (1983), 545-549 Request permission

Abstract:

It is proved that statements (a)-(c) are equivalent, (a) Structural $(\Omega - )$ stability conjecture. (b) If diffeomorphisms $f$ and $g$ are both structurally $(\Omega - )$ stable, then so is $f \times g$. (c) If a diffeomorphism $f$ is structurally $(\Omega - )$ stable, then every diffeomorphism in a neighborhood of $f \times {f^{ - 1}}$ has only hyperbolic periodic points.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 88 (1983), 545-549
  • MSC: Primary 58F10; Secondary 58F15
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0699431-4
  • MathSciNet review: 699431