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An alternative characterisation of universal cells in opetopic n-categories

Eugenia Cheng
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Abstract

We address the fact that composition in an opetopic weak n-category is in general not unique and hence is not a well-defined operation. We define composition with a given k-cell in an n-category by a span of (n-k)-categories. We characterise such a cell as universal if its composition span gives an equivalence of (n-k)-categories.

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Eugenia Cheng. 2003-04-21. An alternative characterisation of universal cells in opetopic n-categories. https://arxiv.org/abs/math/0304286

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