The theory of opetopes via Kelly-Mac Lane graphs

Details The theory of opetopes via Kelly-Mac Lane graphs The theory of opetopes via Kelly-Mac Lane graphs

2003-04-21

arxiv.org/abs/math/0304288v1

Mathematics

Category Theory

22 pages

Scientific paper

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.

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