Geodesic
A Gray-categorical pasting theorem
Theory and applications of categories, Tome 39 (2023), pp. 150-171

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The notion of Gray-category, a semi-strict 3-category in which the middle four interchange is weakened to an isomorphism, is central in the study of three-dimensional category theory. In this context it is common practice to use 2-dimensional pasting diagrams to express composites of 2-cells, however there is no thorough treatment in the literature justifying this procedure. We fill this gap by providing a formal approach to pasting in Gray-categories and by proving that such composites are uniquely defined up to a contractible groupoid of choices.

Publié le :
Classification : 18N20, 16S15, 03E20
Keywords: Gray-categories, pasting diagrams 
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     author = {Nicola Di Vittorio},
     title = {A {Gray-categorical} pasting theorem},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2023_39_a4/}
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Nicola Di Vittorio. A Gray-categorical pasting theorem. Theory and applications of categories, Tome 39 (2023), pp. 150-171. http://geodesic.mathdoc.fr/item/TAC_2023_39_a4/