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arXiv · 2305.15209

The representing localic groupoid for a geometric theory

Graham Manuell·Joshua L. Wrigley
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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.

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BibTeXRIS

Graham Manuell, Joshua L. Wrigley. 2023-05-24. The representing localic groupoid for a geometric theory. https://arxiv.org/abs/2305.15209

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