“PughsClosingLemma”的概念、定义、习题解题方法及翻译-数学辞典

单词	PughsClosingLemma
释义	Pugh’s closing lemma Let $f:M\\to M$ be a $\\mathcal{C}^{1}$ diffeomorphism of a compact smooth manifold $M$ . Given a nonwandering point $x$ of $f$ , there exists a diffeomorphism $g$ arbitrarily close to $f$ in the $\\mathcal{C}^{1}$ topology of $\\operatorname{Diff}^{1}(M)$ such that $x$ is a periodic point of $g$ . The analogous theorem holds when $x$ is a nonwandering point of a $\\mathcal{C}^{1}$ flow on $M$ . References 1 Pugh, C., An improved closing lemma and a general density theorem, Amer. J. Math. 89 (1967).
随便看	equivalence of form class group and class group EquivalenceOfHausdorffsMaximumPrincipleZornsLemmaAndTheWellorderingTheorem equivalence of Hausdorff’s maximum principle, Zorn’s lemma and the well-ordering theorem EquivalenceOfKuratowskisLemmaAndZornsLemma equivalence of Kuratowski’s lemma and Zorn’s lemma Equivalence of path induction and based path induction EquivalenceOfZornsLemmaAndTheAxiomOfChoice equivalence of Zorn’s lemma and the axiom of choice EquivalenceRelation equivalence relation Equivalences Equivalences EquivalentAutomata equivalent automata EquivalentCharacterizationsOfDedekindDomains equivalent characterizations of Dedekind domains EquivalentConditionForBeingAFundamentalSystemOfEntourages equivalent condition for being a fundamental system of entourages EquivalentConditionForTheTranslatesOfAnL2FunctionToFormARieszSequenceAn equivalent condition for the translates of an L_2 function to form a Riesz sequence, an EquivalentConditionsForNormalityOfAFieldExtension equivalent conditions for normality of a field extension EquivalentConditionsForTriangles equivalent conditions for triangles EquivalentConditionsForUniformIntegrability

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Pugh’s closing lemma

References