English

Normality and quotient in crossed modules over groupoids and double groupoids

Category Theory 2018-01-29 v1 Algebraic Topology

Abstract

We consider the categorical equivalence between crossed modules over groupoids and double groupoids with thin structures; and by this equivalence, we prove how normality and quotient concepts are related in these two categories and give some examples of these objects.

Keywords

Cite

@article{arxiv.1801.08762,
  title  = {Normality and quotient in crossed modules over groupoids and double groupoids},
  author = {Osman Mucuk and Serap Demir},
  journal= {arXiv preprint arXiv:1801.08762},
  year   = {2018}
}

Comments

14 pages, research paper, LaTeX2e, xypic

R2 v1 2026-06-22T23:57:51.225Z