Bicategorical colimits of tensor categories

Abstract

In this expository paper we explain in detail how to construct bicategorical colimits of several kinds of tensor categories, for example essentially small finitely cocomplete K-linear tensor categories. The constructions are direct and elementary.

arXiv comment24 pages

References in corpus (3)

• Tensor categorical foundations of algebraic geometry
• Ind-abelian categories and quasi-coherent sheaves
• Which abelian tensor categories are geometric?

Cited by in corpus (2)

• Localizations of tensor categories and fiber products of schemes
• Exponentiable Grothendieck categories in flat Algebraic Geometry