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

单词	PughsGeneralDensityTheorem
释义	Pugh’s general density theorem Let $M$ be a compact smooth manifold. There is a residual subset of $\\operatorname{Diff}^{1}(M)$ in which every element $f$ satisfies $\\overline{\\operatorname{Per}(f)}=\\Omega(f)$ .In other words: Generically, the set of periodic points of a $\\mathcal{C}^{1}$ diffeomorphism is dense in its nonwandering set. Here, $\\operatorname{Diff}^{1}(M)$ denotes the set of all $\\mathcal{C}^{1}$ difeomorphisms from $M$ toitself, endowed with the (strong) $\\mathcal{C}^{1}$ topology. References 1 Pugh, C., An improved closing lemma and a general density theorem, Amer. J. Math. 89 (1967).
随便看	removable singularity Repdigit repdigit RepresentantsOfQuadraticResidues representants of quadratic residues RepresentationOfACcmathsfGTopologicalAlgebra representation of a C_c⁢(𝖦) - topological algebra RepresentationOfIntegersByEquivalentIntegralBinaryQuadraticForms representation of integers by equivalent integral binary quadratic forms RepresentationOfRealNumbers representation of real numbers RepresentationRing representation ring RepresentationRingVsBurnsideRing representation ring vs burnside ring RepresentationsOfABoundQuiver representations of a bound quiver RepresentationsOfBanachalgebrasAreContinuous representations of Banach -algebras are continuous RepresentationsOfCompactGroupsAreEquivalentToUnitaryRepresentations representations of compact groups are equivalent to unitary representations RepresentationsVsModules representations vs modules RepresentationTheoremForCompactMetricSpaces representation theorem for compact metric spaces

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 general density theorem

References