On stability of endomorphisms
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- by Hiroshi Ikeda PDF
- Proc. Amer. Math. Soc. 104 (1988), 1287-1290 Request permission
Abstract:
In this note we prove a generalization of R. Mañé’s theorem. R. Mañé proved that ${C^r}$ absolutely stable endomorphisms satisfy Axiom A. We prove that if an endomorphism $f$ is both ${C^r}$ structurally and infinitesimally stable, then $f$ satisfies Axiom A.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 1287-1290
- MSC: Primary 58F10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0941323-1
- MathSciNet review: 941323