2014/10/23 by Matteo Tommasini, Tommasini, Matteo
Decision Sciences · Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Functional Equations Stability Results #Fuzzy and Soft Set Theory #Rings, Modules, and Algebras #math.CT
paper · pdf · doi:10.48550/arxiv.1410.6395
References updated, some misprints fixed
openalex publication_date 2014/10/23 · arxiv created 2014/11/21 · arxiv updated 2014/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We fix any bicategory \mathscrA together with a class of morphisms W_\mathscrA, such that there is a bicategory of fractions \mathscrA[W_\mathscrA-1]. Given another such pair (\mathscrB,W_\mathscrB) and any pseudofunctor F:\mathscrA→\mathscrB, we find necessary and sufficient conditions in order to have an induced equivalence of bicategories from \mathscrA[W_\mathscrA-1] to \mathscrB[W_\mathscrB-1]. In particular, this gives necessary and sufficient conditions in order to have an equivalence from any bicategory of fractions \mathscrA[W_\mathscrA-1] to any given bicategory \mathscrB.