Operads for Symmetric Monoidal Categories
Category Theory
2023-05-26 v2
Abstract
This paper gives an explicit description of the categorical operad whose algebras are precisely symmetric monoidal categories. This allows us to place the operad in a sequence of four, and therefore a sequence of four successively stricter concepts of symmetric monoidal category. A companion paper will use this operadic presentation to describe a vast array of underlying multicategories for a symmetric monoidal category.
Cite
@article{arxiv.2301.06165,
title = {Operads for Symmetric Monoidal Categories},
author = {A. D. Elmendorf},
journal= {arXiv preprint arXiv:2301.06165},
year = {2023}
}
Comments
10 pages. Makes minor expository improvements from the previous version