subspace topology

noun

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.

Similar
relative topology
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Meanings

nounsubspace topology (plural subspace topologies)

plural subspace topologies

  1. mathematicsThe 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.

    Synonyms: relative topology

Synonyms & antonyms

nounThe 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.

Similar
relative topology

Translations

Danish sportopologi
  • sportopologitopology of a subset
Cite this entry
APA

subspace topology. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/subspace%20topology

MLA

“subspace topology.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/subspace%20topology. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “subspace topology,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/subspace%20topology.

Source: subspace topology on Wiktionary, CC BY-SA 4.0.