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Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories

Author

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  • Antonio M. Cegarra

    (Department Algebra, University of Granada, 18071 Granada, Spain)

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.

Suggested Citation

  • Antonio M. Cegarra, 2020. "Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories," Mathematics, MDPI, vol. 8(6), pages 1-27, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:981-:d:372077
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