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Operadic categories and 2-Segal sets

2023/12/01 by Philip Hackney, Hackney, Philip
Mathematics · Medicine · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Intracranial Aneurysms: Treatment and Complications

paper · pdf · doi:10.48550/arxiv.2312.00756

Abstract

If X is a 2-Segal set, then the edgewise subdivision of X admits a factorization system coming from upper and lower décalage. Using the correspondence between 2-Segal sets and unary operadic categories satisfying the blow-up axiom, the edgewise subdivision of X is interpreted as an enlargement of the associated operadic category, where fiber inclusions have been adjoined.

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