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Coherence for bicategories, lax functors, and shadows
Theory and applications of categories, Tome 38 (2022), pp. 328-373 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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Coherence theorems are fundamental to how we think about monoidal categories and their generalizations. In this paper we revisit Mac Lane's original proof of coherence for monoidal categories using the Grothendieck construction. This perspective makes the approach of Mac Lane's proof very amenable to generalization. We use the technique to give efficient proofs of many standard coherence theorems and new coherence results for bicategories with shadow and for their functors.

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Classification : 18M05, 18N10
Keywords: coherence, monoidal categories, bicategories, bicategories with shadows, lax monoidal functors, lax shadow functors 
@article{TAC_2022_38_a11,
     author = {Cary Malkiewich and Kate Ponto},
     title = {Coherence for bicategories, lax functors, and shadows},
     journal = {Theory and applications of categories},
     pages = {328--373},
     year = {2022},
     volume = {38},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2022_38_a11/}
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Cary Malkiewich; Kate Ponto. Coherence for bicategories, lax functors, and shadows. Theory and applications of categories, Tome 38 (2022), pp. 328-373. http://geodesic.mathdoc.fr/item/TAC_2022_38_a11/