A cocategorical obstruction to tensor products of Gray-categories
Category Theory
2015-04-07 v2
Abstract
It was argued by Crans that it is too much to ask that the category of Gray-categories admit a well behaved monoidal biclosed structure. We make this precise by establishing undesirable properties that any such monoidal biclosed structure must have. In particular we show that there does not exist any tensor product making the model category of Gray-categories into a monoidal model category.
Keywords
Cite
@article{arxiv.1412.1320,
title = {A cocategorical obstruction to tensor products of Gray-categories},
author = {John Bourke and Nick Gurski},
journal= {arXiv preprint arXiv:1412.1320},
year = {2015}
}
Comments
Final version; 23 pages; added new sections 4.4 on weak transformations and 4.8 on related work of James Dolan