2021/10/11 by Erlend D. Børve, Børve, Erlend D., Paul Trygsland +1
Mathematics · Medicine · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Intracranial Aneurysms: Treatment and Complications
paper · pdf · doi:10.48550/arxiv.2110.05138
We define extension ∞-categories for exact ∞-categories in terms of bifibrations. Extension ∞-categories are invariant when passing to the stable hull, and consequently we show that they form an Ω-spectrum, generalizing a theorem of Retakh. Finally, we show that the homotopy groups of extension ∞-categories are naturally isomorphic to the higher extension groups of the extriangulated category given by the homotopy category.