English

The theory of opetopes via Kelly-Mac Lane graphs

Category Theory 2007-05-23 v1

Abstract

This paper follows from two earlier works. In the first we gave an explicit construction of opetopes, the underlying cell shapes in the theory of opetopic n-categories; at the heart of this construction is the use of certain trees. In the second we gave a description of trees using Kelly-Mac Lane graphs. In the present paper we apply the latter to the former, to give a construction of opetopes using Kelly-Mac Lane graphs.

Keywords

Cite

@article{arxiv.math/0304288,
  title  = {The theory of opetopes via Kelly-Mac Lane graphs},
  author = {Eugenia Cheng},
  journal= {arXiv preprint arXiv:math/0304288},
  year   = {2007}
}

Comments

22 pages