English

Extension of topological groupoids and Serre, Hurewicz morphisms

Category Theory 2023-10-03 v1 Algebraic Topology Differential Geometry

Abstract

In this paper, we introduce the notion of a topological groupoid extension and relate it to the already existing notion of a gerbe over a topological stack. We further study the properties of a gerbe over a Serre, Hurewicz stack.

Keywords

Cite

@article{arxiv.2103.04560,
  title  = {Extension of topological groupoids and Serre, Hurewicz morphisms},
  author = {Saikat Chatterjee and Praphulla Koushik},
  journal= {arXiv preprint arXiv:2103.04560},
  year   = {2023}
}