Does anyone know in what paper Grothendieck universes were first introduced? I looked at Grothendieck's 1957 paper. I can't read French so I am not entirely sure, but I couldn't find any definitions similar to that of Grothendieck universes in that paper. Did I simply miss it, or are Grothendieck universes first introduced in a different paper? I expect that if Grothendieck was the one to introduce Grothendieck universes, then he defined them under a different name.
2026-04-28 19:03:56.1777403036
Origin of Grothendieck universes
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Grothendieck universes were first introduced at the beginning of the Chapter 1 titled "Préfaisceaux" (page 185) of:
Grothendieck, A., & Verdier, J. L. (1972). Volume 1 of Théorie des Topos et Cohomologie Etale des Schémas. Séminaire de Géométrie Algébrique du Bois-Marie 1963-1964 (SGA 4). Lecture Notes in Mathematics. doi:10.1007/bfb0081551