bicategories of fractions; bicalculus of fractions; pseudofunctors; étale groupoids; Morita equivalences
Abstract :
[en] We fix any bicategory A together with a class of morphisms W_A, such that there is a bicategory of fractions A[W_A^{-1}] (as described by D. Pronk). Given another such pair (B,W_B) and any pseudofunctor F : A → B, we find necessary and sufficient conditions in order to have an induced pseudofunctor G : A[W_A^{-1}]→ B[W_B^{-1}]. Moreover, we give a simple description of G in the case when the class W_B is “right saturated”.
Disciplines :
Mathematics
Author, co-author :
TOMMASINI, Matteo ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
