Stone-Čech compactification

noun

A technique for constructing a universal map from a topological space to a compact Hausdorff space.

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Meanings

nounStone-Čech compactification (countable and uncountable, plural Stone-Čech compactifications)

plural Stone-Čech compactifications · alternative Čech-Stone compactification

  1. countableuncountablemathematicsA technique for constructing a universal map from a topological space to a compact Hausdorff space.
  2. countableuncountablemathematicsThe space obtained by using this technique.

Origin

Named after Marshall Stone and Eduard Čech, who wrote on the topic in 1937.

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Cite this entry
APA

Stone-Čech compactification. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Stone-%C4%8Cech%20compactification

MLA

“Stone-Čech compactification.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Stone-%C4%8Cech%20compactification. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Stone-Čech compactification,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Stone-%C4%8Cech%20compactification.

Source: Stone-Čech compactification on Wiktionary, CC BY-SA 4.0.