Symmetric weak multicategories

Volodymyr Lyubashenko

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arXiv · 2512.07732

Symmetric weak multicategories

Volodymyr Lyubashenko

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Abstract

A multicategory is what remains of a monoidal category when monoidal product is not available. A weak multicategory means that hom-sets are in fact categories, and in place of usual equations, there are natural isomorphisms, which have to satisfy their own equations. A symmetric weak multicategory implies a weak multicategory with a weak (up to a cocycle) action of symmetric groups.

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Volodymyr Lyubashenko. 2025-12-08. Symmetric weak multicategories. https://arxiv.org/abs/2512.07732

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