The C1 closing lemma for non-singular endomorphisms

DOI10.1017/S0143385700006210zbMath0712.58037OpenAlexW1979885503WikidataQ124805236 ScholiaQ124805236MaRDI QIDQ3197033

Lan Wen

Publication date: 1991

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700006210

zbMATH Keywords

dynamical systemsdiffeomorphisms\(C^ 1\) closing lemmanon-singular endomorphisms

Mathematics Subject Classification ID

Ergodic theory (37A99)

Related Items (13)

The $C^1$ closing lemma for nonsingular endomorphisms equivariant under free actions of finite groups ⋮ Some Recent Results on the Stability of Endomorphisms ⋮ New criteria for hyperbolicity based on periodic sets ⋮ Closing lemmas ⋮ The \(C^1\) closing Lemma for generic \(C^1\) endomorphisms ⋮ Smooth TA-maps with robust shadowing are Axiom A ⋮ Contribution to the ergodic theory of robustly transitive maps ⋮ Equivalent conditions of dominated splitting for volume-preserving diffeomorphisms ⋮ A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies ⋮ A \(C^1\) closing lemma for equivariant endomorphisms under actions of finite groups ⋮ A basic \(C^1\) perturbation theorem ⋮ The closing lemma and the planar general density theorem for Sobolev maps ⋮ 𝐶¹ Connecting Lemmas

Cites Work

• The Closing Lemma
• An Improved Closing Lemma and a General Density Theorem
• Necessary Conditions for Stability of Diffeomorphisms

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