Stably inverse shadowable transitive sets and dominated splitting

Lee, Keonhee; Lee, Manseob

doi:10.1090/S0002-9939-2011-10882-7

Stably inverse shadowable transitive sets and dominated splitting
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by Keonhee Lee and Manseob Lee PDF

Proc. Amer. Math. Soc. 140 (2012), 217-226 Request permission

Abstract:

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

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