Last Updated :2025/11/28

subspace topology

Noun
Japanese Meaning
位相空間 X の部分集合 S において、X の開集合との交わりにより定義される開集合系によって構成される位相。
What is this buttons?

S 上の連続性を判断するには、X によって S に誘導される位相について写像を調べれば十分です。

plural

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(topology) The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X.

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subspace topology

To determine continuity on S, it suffices to check maps with respect to the subspace topology inherited from X.

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To determine continuity on S, it suffices to check maps with respect to the subspace topology inherited from X.

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