The Classifying Topos of a Continuous Groupoid. I

Ieke Moerdijk
1988 Transactions of the American Mathematical Society  
We investigate some properties of the functor B which associates to any continuous groupoid G its classifying topos BG of equivariant G-sheaves. In particular, it will be shown that the category of toposes can be obtained as a localization of a category of continuous groupoids.
doi:10.2307/2000984 fatcat:5rnvmkre5jdb7ccbojgnaowgfe