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

单词	SequentiallyContinuous
释义	sequentially continuous Let $X, Y$ be topological spaces. Then a $f:X\\rightarrow Y$ is said to be sequentially continuous if for every convergent sequence $x_{n}\\rightarrow x$ in $X$ , $f(x_{n})\\rightarrow f(x)$ in $Y$ . Every continuous function is sequentially continuous, however the converse is true only in first-countable spaces (for example in metric spaces).
随便看	ClassesOfOrdinalsAndEnumeratingFunctions classes of ordinals and enumerating functions ClassFunction class function ClassicalDifferentialGeometry classical differential geometry ClassicalGroups classical groups ClassicalIsoperimetricProblem classical isoperimetric problem ClassicalProblemsOfConstructibility classical problems of constructibility ClassicalRingOfQuotients classical ring of quotients ClassicalStokesTheorem classical Stokes’ theorem Classical vs. intuitionistic logic Classical well-orderings ClassificationOfComplexNumbers classification of complex numbers ClassificationOfCoveringSpaces classification of covering spaces ClassificationOfFinitedimensionalRepresentationsOfSemisimpleLieAlgebras classification of finite-dimensional representations of semi-simple Lie algebras ClassificationOfHilbertSpaces

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。

sequentially continuous