1985
DOI: 10.1016/0022-4049(85)90008-8
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Cohomology of small categories

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Cited by 143 publications
(172 citation statements)
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“…Remark. Abelian track categories are classified by cohomology, see [BW,BD,P,B1,BJ1]. It would be interesting to classify accordingly algebras of left n-cubical balls for n ≥ 1.…”
Section: Track Categories and Algebras Of Left 1-cubical Ballsmentioning
confidence: 99%
“…Remark. Abelian track categories are classified by cohomology, see [BW,BD,P,B1,BJ1]. It would be interesting to classify accordingly algebras of left n-cubical balls for n ≥ 1.…”
Section: Track Categories and Algebras Of Left 1-cubical Ballsmentioning
confidence: 99%
“…Malgré le contexte bivariant qui va apparaître, on ne parle donc pas de biextensions. Signalons ici la notion d'appariement de fibrations considérée par [12] qui relie les constructions de [2] sur la cohomologie des catégories et celles de [5] qui décrit une cohomologie des diagrammes d'algèbres généralisant la cohomologie de Hochschild [7] dont nous reparlerons.…”
Section: Introductionunclassified
“…This can be thought of as a generalization of the bar construction for abelian groups, and hence this stabilization is a direct transliteration of the Dold-Puppe stable derived functors ( [4]) to the setting of exact categories. Our method of computation for the stabilized functors is first to relate them to a stabilized version of the cohomology of small categories in the sense of [2] and then to relate this to Mac Lane homology much in the manner of [9].…”
Section: Introductionmentioning
confidence: 99%