topological closure operator

noun

A function on the subsets of a topological space that assigns to each subset its closure: the smallest closed set containing it.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nountopological closure operator (plural topological closure operators)

plural topological closure operators

  1. mathematicsA function on the subsets of a topological space that assigns to each subset its closure: the smallest closed set containing it.
Cite this entry
APA

topological closure operator. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/topological%20closure%20operator

MLA

“topological closure operator.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/topological%20closure%20operator. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “topological closure operator,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/topological%20closure%20operator.

Source: topological closure operator on Wiktionary, CC BY-SA 4.0.