Word Pronunciation & Dictionary

grothendieck universe

Word Rarity Very rare

Frequency: Zipf frequency 1.83 in modern English

Syllables: grothendieck- u-ni-verse
IPA

34

Scrabble Score

20

Letters

4

Syllables

14

Unique Chars

Meaning

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).

Etymology

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

Inflected Forms

Grothendieck universes (plural)

Questions

What does grothendieck universe mean?: 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).
Where does grothendieck universe come from?: Named after Alexander Grothendieck (1928–2014), a German-born French mathematician.

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