Symmetric weak multicategories
Category Theory
2025-12-11 v2
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.
Cite
@article{arxiv.2512.07732,
title = {Symmetric weak multicategories},
author = {Volodymyr Lyubashenko},
journal= {arXiv preprint arXiv:2512.07732},
year = {2025}
}
Comments
29 pages, 1 minor correction