Phrase guide

Grothendieck universe

noun · 1 senses · updated from the 2026-07-25 local source snapshot

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1

noun

Meaning 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).

Definition source: English Wiktionary via Wiktextract

Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

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Meaning relationships

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History

Etymology

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