A. Grothendieck's early work (1950-1960)
type: Item
instance of: scholarly article
title: A. Grothendieck's early work (1950-1960)
zbMATH Open document ID: 0696.01008
DOI: 10.1007/BF00584523
published in: \(K\)-Theory
publication date: 1989-01-01T00:00:00Z
review text: The author discusses the contribution of Alexander Grothendieck to functional analysis beginning with his investigation of the theory of locally convex spaces around 1950 and his doctoral dissertation in 1953. Brief details of his stay at Kansas University in 1955 during which he worked on homological algebra and holomorphic vector bundles is included but most of the paper is devoted, in some detail, to the latter half of the decade and early 1960's. Above all the development of Grothendieck topologies as a tool towards cohomologies with coefficients in a field of characteristic zero is considered his ultimate achievement.
reviewed by: Douglas Quinney
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 46-03
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 46B99
zbMATH DE Number: 4139693
zbMATH Keywords: Grothendieck topologies
zbMATH Keywords: local convexity
zbMATH Keywords: vector bundles. cohomologies
author: Jean A. Dieudonné
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00584523
OpenAlex ID: W2027670117
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description: scientific article; zbMATH DE number 4139693