English

One topos, many sites

Category Theory 2013-04-26 v1 Logic

Abstract

We give characterizations, for various fragments of geometric logic, of the class of theories classified by a locally connected (resp. connected and locally connected, atomic, compact, presheaf) topos, and exploit the existence of multiple sites of definition for a given topos to establish some properties of quotients of theories of presheaf type.

Keywords

Cite

@article{arxiv.0907.2361,
  title  = {One topos, many sites},
  author = {Olivia Caramello},
  journal= {arXiv preprint arXiv:0907.2361},
  year   = {2013}
}

Comments

19 pages

R2 v1 2026-06-21T13:24:44.336Z