The C 1 Closing Lemma for Endomorphisms with Finitely Many Singularities

DOI10.2307/2159804zbMath0746.58017OpenAlexW4235067680WikidataQ124852536 ScholiaQ124852536MaRDI QIDQ3987983

Lan Wen

Publication date: 28 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159804

zbMATH Keywords

singularity\(C^ 1\) closing lemma\(C^ 1\) topology

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Manifolds of mappings (58D15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (5)

The $C^1$ closing lemma for nonsingular endomorphisms equivariant under free actions of finite groups ⋮ Some Recent Results on the Stability of Endomorphisms ⋮ Katok closing lemma for non-singular endomorphisms ⋮ The \(C^1\) closing Lemma for generic \(C^1\) endomorphisms ⋮ A \(C^1\) closing lemma for equivariant endomorphisms under actions of finite groups

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