bicategories of fractions; bicalculus of fractions; equivalences of bicategories; smooth étale groupoids
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 equivalence of bicategories from A[W_A^{-1}] to B[W_B^{-1}]. In particular, this gives necessary and sufficient conditions in order to have an equivalence from any bicategory of fractions A[W_A^{-1}] to any given bicategory B.
Disciplines :
Mathematics
Author, co-author :
TOMMASINI, Matteo ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
