Stably inverse shadowable transitive sets and dominated splitting-Reference-Cited by-同舟云学术

Stably inverse shadowable transitive sets and dominated splitting

Published:2011-05-19 Issue:1 Volume:140 Page:217-226
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lee Keonhee,Lee Manseob

Abstract

Let f f be a diffeomorphism of a closed n n -dimensional smooth manifold. In this paper, we show that if f f has the C 1 C^1 -stably inverse shadowing property on a transitive set, then it admits a dominated splitting.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-01/S0002-9939-2011-10882-7/S0002-9939-2011-10882-7.pdf

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