English

Grothendieck-topological Group Objects

Category Theory 2019-09-27 v1

Abstract

In analogy with the classical theory of topological groups, for finitely complete categories enriched with Grothendieck topologies, we provide the concepts of localized G-topological space, initial Grothendieck topologies and continuous morphisms, in order to obtain the concepts of G-topological monoid and G-topological group objects.

Keywords

Cite

@article{arxiv.1909.11777,
  title  = {Grothendieck-topological Group Objects},
  author = {Joaquin Luna-Torres},
  journal= {arXiv preprint arXiv:1909.11777},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-23T11:26:07.756Z