English

Yoneda representations of flat functors and classifying toposes

Category Theory 2013-04-26 v1 Logic

Abstract

In this paper, we first introduce a technique that we call "Yoneda representation of flat functors", based on ideas from indexed category theory; then we provide applications of this technique to the theory of classifying toposes. Specifically, we obtain results characterizing the models of a theory classified by a topos of the form Sh(C,J) in terms of the models of a theory classified by the topos [C^op, Set].

Keywords

Cite

@article{arxiv.0805.2187,
  title  = {Yoneda representations of flat functors and classifying toposes},
  author = {Olivia Caramello},
  journal= {arXiv preprint arXiv:0805.2187},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-21T10:40:44.612Z