Stably weakly shadowing transitive sets and dominated splittings

Yang, Dawei

doi:10.1090/S0002-9939-2011-10699-3

Stably weakly shadowing transitive sets and dominated splittings
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Proc. Amer. Math. Soc. 139 (2011), 2747-2751 Request permission

Abstract:

We prove that for any $C^1$-stably weakly shadowing transitive set $\Lambda$, either $\Lambda$ is a sink or a source or $\Lambda$ admits a dominated splitting.

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