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.
引用
收藏
页数：27
相关论文
共 21 条
  • [1] COHOMOLOGY OF SMALL CATEGORIES
    BAUES, HJ
    WIRSCHING, G
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1985, 38 (2-3) : 187 - 211
  • [2] Classifying spaces for braided monoidal categories and lax diagrams of bicategories
    Carrasco, P.
    Cegarra, A. M.
    Garzon, A. R.
    [J]. ADVANCES IN MATHEMATICS, 2011, 226 (01) : 419 - 483
  • [3] Cegarra A.M., 2003, INT MATH J, V3, P643
  • [4] Equivariant Brauer groups and cohomology
    Cegarra, AM
    Garzón, AR
    [J]. JOURNAL OF ALGEBRA, 2006, 296 (01) : 56 - 74
  • [5] Franjou V, 2003, RATIONAL REPRESENTAT, V16
  • [6] Gabriel P., 1967, CALCULUS FRACTIONS H
  • [7] Thomason cohomology of categories
    Galvez-Carrillo, Imma
    Neumann, Frank
    Tonks, Andrew
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2013, 217 (11) : 2163 - 2179
  • [8] Andre spectral sequences for Baues-Wirsching cohomology of categories
    Galvez-Carrillo, Imma
    Neumann, Frank
    Tonks, Andrew
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (11) : 2549 - 2561
  • [9] Goerss P. G., 2009, Simplicial homotopy theory
  • [10] Grothendieck A., 2003, Seminaire de geometrie algebrique du Bois Marie 1960-61, Documents Mathematiques Paris, V3
123