Word.ws English Dictionary

Grothendieck universe

Grothendieck universe noun: a kind of universal set whose elements follow the rules of Zermelo–Fraenkel set theory, and for which, with respect to an arbitrary set, an instance of its kind which has that set as a member may be posited to exist through an additional Tarski–Grothendieck axiom (which is not part of ZF but augments it, yielding Tarski–Grothendieck set theory).

Noun

Grothendieck universe (plural Grothendieck universes)

  1. A kind of universal set whose elements follow the rules of Zermelo–Fraenkel set theory, and for which, with respect to an arbitrary set, an instance of its kind which has that set as a member may be posited to exist through an additional Tarski–Grothendieck axiom (which is not part of ZF but augments it, yielding Tarski–Grothendieck set theory).

Forms of Grothendieck universe

pluralGrothendieck universes

Origin of Grothendieck universe

Named after Alexander Grothendieck (1928–2014), a German-born French mathematician.

Questions about Grothendieck universe

What does Grothendieck universe mean?
Grothendieck universe means a kind of universal set whose elements follow the rules of Zermelo–Fraenkel set theory, and for which, with respect to an arbitrary set, an instance of its kind which has that set as a member may be posited to exist through an additional Tarski–Grothendieck axiom (which is not part of ZF but augments it, yielding Tarski–Grothendieck set theory).
What part of speech is Grothendieck universe?
Grothendieck universe is a noun.
What is the plural of Grothendieck universe?
The plural of Grothendieck universe is Grothendieck universes.

Words near Grothendieck universe in the dictionary

  1. Grothendieck
  2. Grothendieck group
  3. Grothendieck groups
  4. Grothendieck topologies
  5. Grothendieck topology
  6. Grothendieck universe
  7. Grothendieck universes
  8. Grothendieck-Riemann-Roch theorem
  9. Grothendieckian
  10. Grothes
  11. grothite

Source and license

Adapted from Wiktionary: Grothendieck universe (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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