Weak vertical composition II: totalities

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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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34241:687522

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34241:687522

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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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Official URL:

http://www.tac.mta.ca/tac/volumes/41/31/41-31abs.h...

Uncontrolled Keywords:

0101 Pure Mathematics; General Mathematics; 4904 Pure mathematics

Page Range:

995-1043

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Article

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