English

Spans in 2-Categories: A monoidal tricategory

Category Theory 2013-09-19 v2

Abstract

We present Trimble's definition of a tetracategory and prove that the spans in (strict) 2-categories with certain limits have the structure of a monoidal tricategory, defined as a one-object tetracategory. We recall some notions of limits in 2-categories for use in the construction of the monoidal tricategory of spans.

Keywords

Cite

@article{arxiv.1112.0560,
  title  = {Spans in 2-Categories: A monoidal tricategory},
  author = {Alexander E. Hoffnung},
  journal= {arXiv preprint arXiv:1112.0560},
  year   = {2013}
}

Comments

137 pages

R2 v1 2026-06-21T19:45:28.727Z