The nerve of a crossed module
Algebraic Topology
2011-04-01 v1
Authors:
Ivan Yudin
Abstract
We give an explicit description for the nerve of crossed module of categories.
Cite
@article{arxiv.1103.6275,
title = {The nerve of a crossed module},
author = {Ivan Yudin},
journal= {arXiv preprint arXiv:1103.6275},
year = {2011}
}
Comments
23 pages
Related papers
View all related →
Category Theory · Mathematics
Crossed Simplicial Group Categorical Nerves
Scott Balchin
2017-05-22
Category Theory · Mathematics
Categories internal to crossed modules
Tunçar Şahan, Jihad Jamil Mohammed
2019-05-13
Category Theory · Mathematics
Strict 2-Groups are Crossed Modules
Sven-S. Porst
2008-12-09
Quantum Algebra · Mathematics
Modular categories from finite crossed modules
Jennifer Maier, Christoph Schweigert
2012-05-15
Category Theory · Mathematics
From cssc-crossed modules to categorical groups
Tamar Datuashvili, Osman Mucuk, Nazmiye Alemdar, Tunçar Şahan
2024-10-15
Quantum Algebra · Mathematics
Characters of Crossed Modules and Premodular Categories
P. Bantay
2007-05-23
Category Theory · Mathematics
Crossed modules, double group-groupoids and crossed squares
Sedat Temel, Tunçar Şahan, Osman Mucuk
2021-02-16
Category Theory · Mathematics
Equivalence of the categories of categorical groups and cssc-crossed modules
Tamar Datuashvili, Osman Mucuk, Nazmiye Alemdar, Tunçar Şahan
2025-09-03
Quantum Algebra · Mathematics
The rank of $G$-crossed braided extensions of modular tensor categories
Marcel Bischoff
2020-06-01
Rings and Algebras · Mathematics
Crossed modules for Lie 2-algebras
Honglei Lang, Zhangju Liu
2014-03-03
Category Theory · Mathematics
Group-groupoid actions and liftings of crossed modules
Osman Mucuk, Tunçar Şahan
2018-08-17
Quantum Algebra · Mathematics
Module categories over the Drinfeld double of a finite group
Victor Ostrik
2007-05-23
Category Theory · Mathematics
Strict Gr-categories and applications on classification of extensions of groups of the type of a crossed module
Nguyen Tien Quang, Pham Thi Cuc, Nguyen Thu Thuy
2011-12-13
High Energy Physics - Theory · Physics
Crossed modules and quantum groups in braided categories II
Yuri Bespalov
2008-02-03
Algebraic Topology · Mathematics
(Co)-Induced Two Crossed Modules
Ummahan Ege Arslan, Zekeriya Arvasi, Gülümsen Onarlı
2016-08-14
Category Theory · Mathematics
The algebra of the nerves of omega-categories
Richard Steiner
2013-09-03
Differential Geometry · Mathematics
Nonabelian bundle 2-gerbes
Branislav Jurco
2010-01-20
Algebraic Geometry · Mathematics
Categorical Aspects of the Double Structure of a Module
Thiago F. da Silva
2023-08-30
Algebraic Topology · Mathematics
(Co)homology of crossed modules with coefficients in a $\pi_1$-module
Simona Paoli
2007-05-23
Differential Geometry · Mathematics
Crossed Module Bundle Gerbes; Classification, String Group and Differential Geometry
Branislav Jurco
2011-10-10
Category Theory · Mathematics
Derived crossed modules
Tunçar Şahan
2018-11-06
Quantum Algebra · Mathematics
Crossed modules of racks
Alissa S. Crans, Friedrich Wagemann
2014-04-02
Category Theory · Mathematics
Groups up to congruence relation and from categorical groups to c-crossed modules
Tamar Datuashvili, Osman Mucuk, Tunçar Şahan
2020-12-11
Commutative Algebra · Mathematics
On equimultiple modules
Ana L. Branco Correia, Santiago Zarzuela
2007-08-17
K-Theory and Homology · Mathematics
Pre-crossed modules and rack homology
Jacob Mostovoy
2023-06-22