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Bipullbacks of fractions and the snail lemma

2017/07/04 by Pierre-Alain Jacqmin, Sandra Mantovani, Jacqmin, P. -A. +5
Mathematics · Physics and Astronomy · #18B40 #18D05 #18E35 #18G50 #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1707.00873

openalex publication_date 2017/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish conditions giving the existence of bipullbacks in bicategories of fractions. We apply our results to construct a π01 exact sequence associated with a fractor between groupoids internal to a pointed exact category.

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