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

单词	StructuralStabilityTheorem
释义	Structural stability theorem Let $M$ be a compact differentiable manifold and let $f:M\\rightarrow M$ be a $C^{r}$ diffeomorphism. Then, $f$ is structurally stable in the $C^{1}$ topology if and only if it is Axiom A and satisfies the strong transversality condition.The question of knowing if this is valid for the $C^{r}$ topology, $r\\geq 2$ is still open.
随便看	ClassificationOfComplexNumbers classification of complex numbers ClassificationOfCoveringSpaces classification of covering spaces ClassificationOfFinitedimensionalRepresentationsOfSemisimpleLieAlgebras classification of finite-dimensional representations of semi-simple Lie algebras ClassificationOfHilbertSpaces classification of Hilbert spaces ClassificationOfIndecomposableRootSystems classification of indecomposable root systems ClassificationOfPlatonicSolids classification of Platonic solids ClassificationOfSemisimpleGroups classification of semisimple groups ClassificationOfSeparableHilbertSpaces classification of separable Hilbert spaces ClassificationOfTopologicalPropertiesAccordingToBehaviourUnderMapping classification of topological properties according to behaviour under mapping ClassNumberDivisibilityInCyclicExtensions class number divisibility in cyclic extensions ClassNumberDivisibilityInExtensions class number divisibility in extensions ClassNumberDivisibilityInPextensions class number divisibility in p-extensions ClassNumberFormula

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。

Structural stability theorem