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arxiv: 1102.0979 · v1 · pith:NWSLBWUEnew · submitted 2011-02-04 · 🧮 math.CT

Biequivalences in tricategories

classification 🧮 math.CT
keywords biequivalencemonoidalapplicationsbiadjointbicategorybiequivalenceschoicecoherent
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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.

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