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Grothendieck's Tohoku paper
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The article "Sur quelques points d'algebre homologique" by Alexander Grothendieck,[1] now often referred to as the Tohoku paper,[2] was published in 1957 in the Tohoku Mathematical Journal. It has revolutionized the subject of homological algebra, a purely algebraic aspect of algebraic topology.[3]
It removed the need to distinguish the cases of modules over a ring and sheaves of abelian groups over a topological space.[4]
Contents
1 Background
2 Later developments
Background
Material in the paper dates from Grothendieck's year at the University of Kansas in 1955?6. Research there allowed him to put homological algebra on an axiomatic basis, by introducing the abelian category concept.[5][6]
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