Geodesic
Strictification tensor product of 2-categories
Theory and applications of categories, Tome 34 (2019), pp. 635-661.

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Given 2-categories C and D, let Lax (C,D) denote the 2-category of lax functors, lax natural transformations and modifications, and [C,D]_lnt its full sub-2-category of (strict) 2-functors. We give two isomorphic constructions of a 2-category C \boxtimes D satisfying Lax (C, Lax(D,E)) \cong [C \boxtimes D, E}_lnt, hence generalising the case of the free distributive law 1 \boxtimes 1. We also discuss dual constructions.
Publié le :
Classification : 18D05, 18D35, 18G30
Keywords: Lax functor, strictification, distributive law, lax Gray product, free monoid 
@article{TAC_2019_34_a21,
     author = {Branko Nikolic},
     title = {Strictification tensor product of 2-categories},
     journal = {Theory and applications of categories},
     pages = {635--661},
     publisher = {mathdoc},
     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a21/}
}
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Branko Nikolic. Strictification tensor product of 2-categories. Theory and applications of categories, Tome 34 (2019), pp. 635-661. http://geodesic.mathdoc.fr/item/TAC_2019_34_a21/