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单词 SubspaceTopology
释义

subspace topology


Let X be a topological spaceMathworldPlanetmath, and let YX be a subset. The subspace topology on Y is the topology whose open sets are those subsets of Y which equal UY for some open set UX.

In this context, the topological space Y obtained by taking the subspace topology is called a topological subspace, or simply subspaceMathworldPlanetmath, of X.

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更新时间:2025/5/4 23:04:41