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单词 subspace topology
释义

subspace topology

For a topological space X and subset A, the sets A ∩ U, where U is an open set of X, form a topology on A called the subspace (or relative or induced) topology. When X is a metric space, the subspace topology on A is that induced by the metric restricted to pairs of points of A.

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更新时间:2025/4/29 13:06:18