Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories

Antonio M. Cegarra
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Antonio M. Cegarra: Department Algebra, University of Granada, 18071 Granada, Spain

Mathematics, 2020, vol. 8, issue 6, 1-27

Abstract: This paper deals with well-known weak homotopy equivalences that relate homotopy colimits of small categories and simplicial sets. We show that these weak homotopy equivalences have stronger cohomology-preserving properties than for local coefficients.

Keywords: homotopy colimits; cohomology of simplicial sets; cohomology of small categories (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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