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The theory of opetopes via Kelly-Mac Lane graphs

Eugenia Cheng
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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.

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Eugenia Cheng. 2003-04-21. The theory of opetopes via Kelly-Mac Lane graphs. https://arxiv.org/abs/math/0304288

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