Reference : Some insights on bicategories of fractions - III
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/19074
Some insights on bicategories of fractions - III
English
Tommasini, Matteo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2014
33
No
[en] bicategories of fractions ; bicalculus of fractions ; equivalences of bicategories ; smooth étale groupoids
[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.
Fonds National de la Recherche - FnR
http://hdl.handle.net/10993/19074
http://arxiv.org/abs/1410.6395

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