Some insights on bicategories of fractions - III

Reference : Some insights on bicategories of fractions - III


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/19074

Title :	Some insights on bicategories of fractions - III
Language :	English
Author, co-author :	Tommasini, Matteo [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2014
Number of pages :	33
Peer reviewed :	No
Keywords :	[en] 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.
Funders :	Fonds National de la Recherche - FnR
Permalink :	http://hdl.handle.net/10993/19074
source URL :	http://arxiv.org/abs/1410.6395

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