Presentably symmetric monoidal infinity-categories are represented by symmetric monoidal model categories
Algebraic Topology
2017-10-03 v3 Category Theory
Abstract
We prove the theorem stated in the title. More precisely, we show the stronger statement that every symmetric monoidal left adjoint functor between presentably symmetric monoidal infinity-categories is represented by a strong symmetric monoidal left Quillen functor between simplicial, combinatorial and left proper symmetric monoidal model categories.
Cite
@article{arxiv.1506.01475,
title = {Presentably symmetric monoidal infinity-categories are represented by symmetric monoidal model categories},
author = {Thomas Nikolaus and Steffen Sagave},
journal= {arXiv preprint arXiv:1506.01475},
year = {2017}
}
Comments
v3: 17 pages, references updated and exposition improved, accepted for publication in Algebraic and Geometric Topology