English

An essential, hyperconnected, local geometric morphism that is not locally connected

Category Theory 2020-09-28 v1

Abstract

We give an example of an essential, hyperconnected, local geometric morphism that is not locally connected, arising from our work-in-progress on geometric morphisms PSh(M)PSh(N)\mathbf{PSh}(M) \to \mathbf{PSh}(N), where MM and NN are monoids.

Cite

@article{arxiv.2009.12241,
  title  = {An essential, hyperconnected, local geometric morphism that is not locally connected},
  author = {Jens Hemelaer and Morgan Rogers},
  journal= {arXiv preprint arXiv:2009.12241},
  year   = {2020}
}

Comments

3 pages

R2 v1 2026-06-23T18:47:47.424Z