English

Calculating Colimits Compositionally

Category Theory 2007-12-18 v1

Abstract

We show how finite limits and colimits can be calculated compositionally using the algebras of spans and cospans, and give as an application a proof of the Kleene Theorem on regular languages.

Keywords

Cite

@article{arxiv.0712.2525,
  title  = {Calculating Colimits Compositionally},
  author = {R. Rosebrugh and N. Sabadini and R. F. C. Walters},
  journal= {arXiv preprint arXiv:0712.2525},
  year   = {2007}
}
R2 v1 2026-06-21T09:54:27.557Z