We continue our study of semi-strict tricategories in which the only weakness is in vertical composition. We assemble the doubly-degenerate such tricategories into a 2-category, defining weak functors and transformations. We exhibit a biadjoint biequivalence between this 2-category and the 2-category of braided (weakly) monoidal categories, braided (weakly) monoidal functors, and monoidal transformations.
Keywords: tricategory, degenerate, braided monoidal category, enrichment, icon
2020 MSC: 18D05, 18D10, 18D20
Theory and Applications of Categories, Vol. 41, 2024, No. 31, pp 995-1043.
Published 2024-08-21.
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