English

Internal bicategories

Category Theory 2016-11-09 v2

Abstract

We define bicategories internal to 2-categories. When the ambient 2-category is symmetric monoidal categories, this provides a convenient framework for encoding the structures of a symmetric monoidal 3-category. This framework is well suited to examples arising in geometry and algebra, such as the 3-category of bordisms or the 3-category of conformal nets.

Keywords

Cite

@article{arxiv.1206.4284,
  title  = {Internal bicategories},
  author = {Christopher L. Douglas and André G. Henriques},
  journal= {arXiv preprint arXiv:1206.4284},
  year   = {2016}
}

Comments

Added references, removed appendices

R2 v1 2026-06-21T21:22:02.932Z