Operadic categories and 2-Segal sets

Philip Hackney

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arXiv · 2312.00756

Operadic categories and 2-Segal sets

Philip Hackney

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Abstract

If $X$ is a 2-Segal set, then the edgewise subdivision of $X$ admits a factorization system coming from upper and lower d\'ecalage. 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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Philip Hackney. 2023-12-01. Operadic categories and 2-Segal sets. https://arxiv.org/abs/2312.00756

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