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单词 LocallyConnected
释义

locally connected


A topological spaceMathworldPlanetmath X is locally connected at a point xX if every neighborhoodMathworldPlanetmathPlanetmath U of x contains a connectedPlanetmathPlanetmath neighborhood V of x. The space X is locally connected if it is locally connected at every point xX.

A topological space X is locally path connected at a point xX if every neighborhood U of x contains a path connected neighborhood V of x. The space X is locally path connected if it is locally path connected at every point xX.

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更新时间:2025/5/4 16:13:33