Reference : Some insights on bicategories of fractions - II
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Physical, chemical, mathematical & earth Sciences : Mathematics
Some insights on bicategories of fractions - II
Tommasini, Matteo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
[en] bicategories of fractions ; bicalculus of fractions ; pseudofunctors ; étale groupoids ; Morita equivalences
[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”.
Fonds National de la Recherche - FnR

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