Toposes and groupoids. (English) Zbl 0659.18008

Moerdijk, Ieke

Categorical algebra and its applications, Proc. 1st Conf., Louvain-la- Neuve/Belg. 1987, Lect. Notes Math. 1348, 280-298 (1988).

[For the entire collection see Zbl 0644.00009.]
This paper provides a summary of the earlier papers by the author: “The classifying topos of a continuous groupoid. I-II [Trans. Am. Math. Soc. (to appear)] and “Morita equivalence of continuous groups” [Math. Proc. Camb. Philos. Soc. (to appear)]. The aim of this paper is to explain to what extent the category of Grothendieck toposes can be described in terms of groupoids.

Reviewer: J.Kubarski

MSC:

18B40	Groupoids, semigroupoids, semigroups, groups (viewed as categories)
18B25	Topoi
20L05	Groupoids (i.e. small categories in which all morphisms are isomorphisms)

Keywords:

category of Grothendieck toposes; groupoids