paper

The representing localic groupoid for a geometric theory

arXiv:2305.15209

Abstract

We give an expository, and hopefully approachable, account of the Joyal-Tierney result that every topos can be represented as a topos of sheaves on a localic groupoid. We give an explicit presentation of a representing localic groupoid for the classifying topos of a given geometric theory and discuss links with the topological groupoids of Forssell.

37 pages, minor edits

The representing localic groupoid for a geometric theory · wovepaper