The homotopy theory of simplicial props
Algebraic Topology
2018-04-17 v4 Category Theory
Abstract
The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. In this paper, the second in a series on "higher props," we show that the category of all small colored simplicial props admits a cofibrantly generated model category structure. With this model structure, the forgetful functor from props to operads is a right Quillen functor.
Cite
@article{arxiv.1209.1087,
title = {The homotopy theory of simplicial props},
author = {Philip Hackney and Marcy Robertson},
journal= {arXiv preprint arXiv:1209.1087},
year = {2018}
}
Comments
Final version, to appear in Israel J. Math