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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, 2015, roč.~30, č.~11, s.~387-409. ISSN~1201-561X.
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