English

An alternative characterisation of universal cells in opetopic n-categories

Category Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0304286,
  title  = {An alternative characterisation of universal cells in opetopic n-categories},
  author = {Eugenia Cheng},
  journal= {arXiv preprint arXiv:math/0304286},
  year   = {2007}
}

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16 pages