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单词 path component
释义

path component

An equivalence relation can be defined on a topological space (or metric space) X by x ∼ y if there is a path between x and y; that is, there is a continuous function f:[0,1]→X such that f(0) = x and f(1) = y. The equivalence classes of ∼ are the path components. A path-connected space is a space with a single path component.

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更新时间:2025/4/29 17:44:17