Symmetric monoidal categories and $\Gamma$-categories
Category Theory
2020-04-15 v2 Algebraic Topology
K-Theory and Homology
Abstract
In this paper we construct a symmetric monoidal closed model category of coherently commutative monoidal categories. The main aim of this paper is to establish a Quillen equivalence between a model category of coherently commutative monoidal categories and a natural model category of Permutative (or strict symmetric monoidal) categories, , which is not a symmetric monoidal closed model category. The right adjoint of this Quillen equivalence is the classical Segal's Nerve functor.
Keywords
Cite
@article{arxiv.1811.11333,
title = {Symmetric monoidal categories and $\Gamma$-categories},
author = {Amit Sharma},
journal= {arXiv preprint arXiv:1811.11333},
year = {2020}
}