Limit weak shadowing property and dominated splitting (Q2837851)
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scientific article; zbMATH DE number 6184858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit weak shadowing property and dominated splitting |
scientific article; zbMATH DE number 6184858 |
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8 July 2013
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limit weak shadowing property
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transitive sets
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dominated splittings
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Limit weak shadowing property and dominated splitting (English)
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Denote by \(\text{Diff}(M)\) the space of diffeomorphisms of a closed \(C^\infty\) manifold \(M\) equipped with the \(C^1\)-topology. The author proves that if \(f \in \text{Diff}(M)\) is \(C^1\)-stably limit weak shadowing on a transitive set \(\Lambda\), then \(\Lambda\) admits a dominated splitting.
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0.8706114292144775
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