A cocategorical obstruction to tensor products of gray-categories

John Bourke, Nick Gurski

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)387-409
Number of pages23
JournalTheory and Applications of Categories
Publication statusPublished - 2015
Externally publishedYes


  • Cocategory
  • Gray-category
  • Monoidal biclosed category


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