Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories

被引：0

作者：

Cegarra, Antonio M. ^{[1
]}

机构：

[1] Univ Granada, Dept Algebra, Granada 18071, Spain

来源：

MATHEMATICS | 2020年 / 8卷 / 06期

关键词：

homotopy colimits; cohomology of simplicial sets; cohomology of small categories; DIAGRAMS; SPACES;

D O I：

10.3390/math8060981

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

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页数：27

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