On the product of stable diffeomorphisms

Author:
Atsuro Sannami

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

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Abstract: It is proved that statements (a)-(c) are equivalent, (a) Structural stability conjecture. (b) If diffeomorphisms and are both structurally stable, then so is . (c) If a diffeomorphism is structurally stable, then every diffeomorphism in a neighborhood of has only hyperbolic periodic points.

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DOI:
https://doi.org/10.1090/S0002-9939-1983-0699431-4

Article copyright:
© Copyright 1983
American Mathematical Society