English

A characterization of representable intervals

Category Theory 2012-05-25 v2

Abstract

In this note we provide a characterization, in terms of additional algebraic structure, of those intervals (certain cocategory objects) in a symmetric monoidal closed category E that are representable in the sense of inducing on E the structure of a finitely bicomplete 2-category. Several examples and connections with the homotopy theory of 2-categories are also discussed.

Keywords

Cite

@article{arxiv.0903.3743,
  title  = {A characterization of representable intervals},
  author = {Michael A. Warren},
  journal= {arXiv preprint arXiv:0903.3743},
  year   = {2012}
}

Comments

26 pages; published version

R2 v1 2026-06-21T12:43:07.761Z