Biequivalences in tricategories

By Nick Gurski. Theory and Applications of Categories, 2011

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We show that every internal biequivalence in a tricategory T is part of a biadjoint biequivalence. We give two applications of this result, one for transporting monoidal structures and one for equipping a monoidal bicategory with invertible objects with a coherent choice of those inverses.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/22b4560fc4bea6d7500cce88b3d6e543e7681903