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

页码：40 / 48

页数：9

共 50 条

[1] A HOMOTOPY COLIMIT THEOREM FOR DIAGRAMS OF BRAIDED MONOIDAL CATEGORIES
Garzon, A. R.
Perez, R.
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2012, 14 (01) : 19 - 32
[2] Weak Hopf monoids in braided monoidal categories
Pastro, Craig
Street, Ross
ALGEBRA & NUMBER THEORY, 2009, 3 (02) : 149 - 207
[3] Monoidal Categories Enriched in Braided Monoidal Categories
Morrison, Scott
Penneys, David
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019, 2019 (11) : 3527 - 3579
[4] Traces in monoidal derivators, and homotopy colimits
de Souza, Martin Gallauer Alves
ADVANCES IN MATHEMATICS, 2014, 261 : 26 - 84
[5] Coquasitriangular Weak Hopf Group Algebras and Braided Monoidal Categories
Shuangjian GUO
JournalofMathematicalResearchwithApplications, 2014, 34 (06) : 655 - 668
[6] Homotopy colimits of model categories
Bergner, Julia E.
ALPINE EXPEDITION THROUGH ALGEBRAIC TOPOLOGY, 2014, 617 : 31 - 37
[7] Braided and coboundary monoidal categories
Savage, Alistair
ALGEBRAS, REPRESENTATIONS AND APPLICATIONS, 2009, 483 : 229 - 251
[8] BRAIDED SKEW MONOIDAL CATEGORIES
Bourke, John
Lack, Stephen
THEORY AND APPLICATIONS OF CATEGORIES, 2020, 35 : 19 - 63
[9] EULER CHARACTERISTICS OF CATEGORIES AND HOMOTOPY COLIMITS
Fiore, Thomas M.
Lueck, Wolfgang
Sauer, Roman
DOCUMENTA MATHEMATICA, 2011, 16 : 301 - 354
[10] On symbolic computations in braided monoidal categories
Pareigis, B
HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY AND PHYSICS, 2005, 239 : 269 - 279

← 1 2 3 4 5 →