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Multifusion Categories and Finite Semisimple 2-Categories

Thibault D. Décoppet

Abstract

We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in arXiv:1812.11933) and of multifusion categories are equivalent.

Multifusion Categories and Finite Semisimple 2-Categories

Abstract

We give a 3-universal property for the Karoubi envelope of a 2-category. Using this, we show that the 3-categories of finite semisimple 2-categories (as introduced in arXiv:1812.11933) and of multifusion categories are equivalent.

Paper Structure

This paper contains 2 sections, 1 equation.

Table of Contents

  1. Introduction