Limit weak shadowable transitive sets of \(C^1\)-generic diffeomorphisms (Q2904304)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Limit weak shadowable transitive sets of \(C^1\)-generic diffeomorphisms |
scientific article; zbMATH DE number 6065120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit weak shadowable transitive sets of \(C^1\)-generic diffeomorphisms |
scientific article; zbMATH DE number 6065120 |
Statements
13 August 2012
0 references
weak shadowing
0 references
limit weak shadowing
0 references
locally maximal
0 references
transitive set
0 references
hyperbolic
0 references
\(C^1\)-generic
0 references
0.9320626
0 references
0.9286161
0 references
0.9254861
0 references
0.8951225
0 references
0 references
0 references
Limit weak shadowable transitive sets of \(C^1\)-generic diffeomorphisms (English)
0 references
In this paper it is stated that a locally maximal transitive set of a \(C^1\)-generic diffeomorphism is hyperbolic if and only if it is limit weak shadowable. Unfortunately, the proof of Lemma 2.5, which is the main lemma in the proof of the ``if'' part of the above result, is not clear. (As far as this reviewer understands, some additional condition will be needed to complete the proof.)
0 references
