On factorizations of graphical maps
Algebraic Topology
2020-07-03 v2 Category Theory
Abstract
We study the categories governing infinity (wheeled) properads. The graphical category, which was already known to be generalized Reedy, is in fact an Eilenberg-Zilber category. A minor alteration to the definition of the wheeled graphical category allows us to show that it is a generalized Reedy category. Finally, we present model structures for Segal properads and Segal wheeled properads.
Keywords
Cite
@article{arxiv.1705.08546,
title = {On factorizations of graphical maps},
author = {Philip Hackney and Marcy Robertson and Donald Yau},
journal= {arXiv preprint arXiv:1705.08546},
year = {2020}
}
Comments
Final author version, to appear in HHA