\(C^ r\) Axiom A maps having strong transversality (Q1314676)
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scientific article; zbMATH DE number 503644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^ r\) Axiom A maps having strong transversality |
scientific article; zbMATH DE number 503644 |
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\(C^ r\) Axiom A maps having strong transversality (English)
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11 October 1994
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Denote by \(R^ r(M)\) the set of all \(C^ r\) regular maps of a closed \(C^ \infty\) manifold \(M\). The author shows that the set of all \(f \in R^ r(M)\) (\(r \geq 1\)), satisfying Axiom A and strong transversality, is open in \(R^ r(M)\). This is a generalization of the result by Newhouse and Palis for \(C^ r\) diffeomorphisms.
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regular maps
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Axiom A
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strong transversality
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0.86827683
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0.8468298
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0.8452655
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0.84451264
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0.8434355
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