Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories Martínez Cegarra, Antonio Homotopy colimit Cohomology of simplicial sets Cohomology of small categories The author is much indebted to the anonymous referees, whose useful observations greatly improved our exposition. 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. 2020-09-08T10:53:09Z 2020-09-08T10:53:09Z 2020-06-16 info:eu-repo/semantics/article Cegarra, A. M. (2020). Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories. Mathematics, 8(6), 981. [doi: 10.3390/math8060981] http://hdl.handle.net/10481/63331 10.3390/math8060981 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España MDPI