English

Atomic toposes and countable categoricity

Category Theory 2013-04-26 v1 Logic

Abstract

We give a model-theoretic characterization of the class of geometric theories classified by an atomic topos having enough points; in particular, we show that every complete geometric theory classified by an atomic topos is countably categorical. Some applications are also discussed.

Keywords

Cite

@article{arxiv.0811.3547,
  title  = {Atomic toposes and countable categoricity},
  author = {Olivia Caramello},
  journal= {arXiv preprint arXiv:0811.3547},
  year   = {2013}
}

Comments

16 pages

R2 v1 2026-06-21T11:44:03.710Z