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On derived categories and derived functors

2007/10/26 by Samson Saneblidze, Saneblidze, Samson
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0710.5065

openalex publication_date 2007/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For an abelian category, a category equivalent to its derived category is constructed by means of specific projective (injective) multicomplexes, the so-called homological resolutions.

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