Formal aspects of Gray's tensor product of 2-categories

Mathematics – Category Theory

Scientific paper

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Title has been changed, major revisions and corrections, accepted in Appl. Categ. Str

Scientific paper

The category of small 2-categories has two monoidal structures due to John
Gray: one biclosed and one closed. We propose a formalisation of the
construction of the right internal and internal homs of these monoidal
structures.

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