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Does the “Grothendieck machine” rest only on metamathematical vocabulary? Bourbaki and categories in the Fifties. (La “machine de Grothendieck” se fonde-t-elle seulement sur des vocables métamathématiques? Bourbaki et les catégories au cours des années cinquante.) (French. English summary) Zbl 1177.01034

The Bourbaki discussion on category theory in the late 1950s is reconstructed with the help of unpublished sources contained in the French Bourbaki archives and in the late Samuel Eilenberg’s Nachlaß, a recently rediscovered collection now in the Columbia University archives. Special attention is given to the relation between this discussion ond Grothendieck’s participation in the Bourbaki project.

MSC:

01A60 History of mathematics in the 20th century
01A70 Biographies, obituaries, personalia, bibliographies
18-03 History of category theory

Biographic References:

Bourbaki, Nicolas; Grothendieck, Alexander
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