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单词 HeineCantorTheorem
释义

Heine-Cantor theorem


Let X,Y be uniform spaces, and f:XY a continuous functionMathworldPlanetmathPlanetmath. If X is compactPlanetmathPlanetmath, then f is uniformly continuousPlanetmathPlanetmath.

For instance, if f:[a,b] is a continuous function, then it is uniformly continuous.

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更新时间:2025/5/4 3:13:10