Biequivalences in tricategories
Category Theory
2011-02-07 v1
Abstract
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.
Cite
@article{arxiv.1102.0979,
title = {Biequivalences in tricategories},
author = {Nick Gurski},
journal= {arXiv preprint arXiv:1102.0979},
year = {2011}
}
Comments
Accepted for publication, to appear in Theory and Applications of Categories