A cocategorical obstruction to tensor products of Gray-categories.

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Authors

BOURKE John Denis GURSKI Nick

Year of publication 2015
Type Article in Periodical
Magazine / Source Theory and Applications of Categories
MU Faculty or unit

Faculty of Science

Citation
Web http://www.tac.mta.ca/tac/volumes/30/11/30-11abs.html
Field General mathematics
Keywords Monoidal biclosed category. Cocategory. Gray-category
Attached files
Description 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.
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