WEAK BRAIDED MONOIDAL CATEGORIES AND THEIR HOMOTOPY COLIMITS

被引:0
作者
Solberg, Mirjam [1 ]
机构
[1] Univ Bergen, Dept Math, N-5020 Bergen, Norway
来源
THEORY AND APPLICATIONS OF CATEGORIES | 2015年 / 30卷
关键词
Weak braided monoidal categories; homotopy colimits; double loop spaces;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the homotopy colimit construction for diagrams of categories with an operad action, recently introduced by Fiedorowicz, Stelzer and Vogt, has the desired homotopy type for diagrams of weak braided monoidal categories. This provides a more flexible way to realize E-2 spaces categorically.
引用
收藏
页码:40 / 48
页数:9
相关论文
共 9 条
  • [1] Iterated monoidal categories
    Balteanu, C
    Fiedorowicz, Z
    Schwänzl, R
    Vogt, R
    [J]. ADVANCES IN MATHEMATICS, 2003, 176 (02) : 277 - 349
  • [2] Homotopy colimits of algebras over Cat-operads and iterated loop spaces
    Fiedorowicz, Z.
    Stelzer, M.
    Vogt, R. M.
    [J]. ADVANCES IN MATHEMATICS, 2013, 248 : 1089 - 1155
  • [3] Hirschhorn P S, 2003, MATH SURVEYS MONOGRA, V99
  • [4] BRAIDED TENSOR CATEGORIES
    JOYAL, A
    STREET, R
    [J]. ADVANCES IN MATHEMATICS, 1993, 102 (01) : 20 - 78
  • [5] Kassel C, 2008, GRAD TEXTS MATH, V247, P1, DOI 10.1007/978-0-387-68548-9_1
  • [6] Schlichtkrull C., 2014, T AM MATH S IN PRESS
  • [7] Schwanzl R., 1991, ARCH MATH BASEL, V56, P405
  • [9] [No title captured]