Krömer, Ralf 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 Rev. Hist. Math. 12, No. 1, 119-162 (2006). The Bourbaki discussion on category theory in the late 1950s is reconstructed with the help of unpublished sources contained in the French Bourbaki archives and in the late Samuel Eilenberg’s Nachlaß, a recently rediscovered collection now in the Columbia University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. Reviewer: Peter Reichensperger (Oberasbach) Cited in 4 Documents MSC: 01A60 History of mathematics in the 20th century 01A70 Biographies, obituaries, personalia, bibliographies 18-03 History of category theory Keywords:Grothendieck; Bourbaki; Eilenburg; Weil; category theory; homological algebra; algebraic geometry Biographic References: Bourbaki, Nicolas; Grothendieck, Alexander PDFBibTeX XMLCite \textit{R. Krömer}, Rev. Hist. Math. 12, No. 1, 119--162 (2006; Zbl 1177.01034)