CHENG, Eugenia and CORNER, Alexander (2024). Weak vertical composition II: totalities. Theory and Applications of Categories, 41 (31), 995-1043. [Article]
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Corner-WeakVerticalCompositionIITotalities(VoR).pdf - Published Version
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Abstract
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.
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