Grothendieck topology

noun

A structure on a category which makes the category's objects act like the open sets of a topological space.

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Meanings

nounGrothendieck topology (plural Grothendieck topologies)

plural Grothendieck topologies

  1. category theoryA structure on a category which makes the category's objects act like the open sets of a topological space.

Origin

Named after the mathematician Alexander Grothendieck.

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Translations

German Grothendieck-Topologie
  • Grothendieck-TopologieTranslations
Polish topologia Grothendiecka
  • topologia GrothendieckaTranslations
Russian топология Гротендика
  • топология Гротендика (topologija Grotendika)Translations
Cite this entry
APA

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

MLA

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

Chicago

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

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