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.References
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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