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@article{1311267,
author = {Bourke, John Denis and Gurski, Nick},
article_number = {11},
keywords = {Monoidal biclosed category. Cocategory. Gray-category},
language = {eng},
issn = {1201-561X},
journal = {Theory and Applications of Categories},
title = {A cocategorical obstruction to tensor products of Gray-categories.},
url = {http://www.tac.mta.ca/tac/volumes/30/11/30-11abs.html},
volume = {30},
year = {2015}
}
TY - JOUR
ID - 1311267
AU - Bourke, John Denis - Gurski, Nick
PY - 2015
TI - A cocategorical obstruction to tensor products of Gray-categories.
JF - Theory and Applications of Categories
VL - 30
IS - 11
SP - 387-409
EP - 387-409
PB - R. Rosebrugh
SN - 1201561X
KW - Monoidal biclosed category. Cocategory. Gray-category
UR - http://www.tac.mta.ca/tac/volumes/30/11/30-11abs.html
L2 - http://www.tac.mta.ca/tac/volumes/30/11/30-11abs.html
N2 - 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.
ER -
BOURKE, John Denis a Nick GURSKI. A cocategorical obstruction to tensor products of Gray-categories. \textit{Theory and Applications of Categories}. R. Rosebrugh, roč.~30, č.~11, s.~387-409. ISSN~1201-561X. 2015.
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