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arxiv: 1003.2104 · v1 · submitted 2010-03-10 · 🧮 math.DS

Stably weakly shadowing transitive sets and dominated splittings

classification 🧮 math.DS
keywords lambdadominatedshadowingstablytransitiveweaklyadmitseither
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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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