Kolmogorov space

noun

A topological space for which any pair of distinct points are also topologically distinct, i.e., there is an open set which contains one of the points but not the other one.

“The Kolmogorov quotient of any topological space is a Kolmogorov space.”

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Meanings

nounKolmogorov space (plural Kolmogorov spaces)

plural Kolmogorov spaces

  1. mathematicsA topological space for which any pair of distinct points are also topologically distinct, i.e., there is an open set which contains one of the points but not the other one.

    The Kolmogorov quotient of any topological space is a Kolmogorov space.

Origin

Named in honor of Andrey Kolmogorov (1903–1987), a Soviet mathematician.

Full word history & related roots →

Translations

Polish przestrzeń Kołmogorowa
  • przestrzeń Kołmogorowaa topological space...
Spanish espacio de Kolmogórov
  • espacio de Kolmogórova topological space...
Cite this entry
APA

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

MLA

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

Chicago

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

Source: Kolmogorov space on Wiktionary, CC BY-SA 4.0.