Biequivalences in tricategories

Mathematics – Category Theory

Scientific paper

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Accepted for publication, to appear in Theory and Applications of Categories

Scientific paper

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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