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arXiv · 0811.3215

Computads and Multitopic Sets

Victor Harnik·Michael Makkai·Marek Zawadowski
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Abstract

We compare computads with multitopic sets. Both these kinds of structures have n-dimensional objects (called n-cells and n-pasting diagrams, respectively). The computads form a subclass of the more familiar class of omega-categories, while multitopic sets have been devised by Hermida, Makkai and Power as a vehicle for a definition of the concepts of weak omega-category. Our main result states that the category of multitopic sets is equivalent to that of many-to-one computads, a certain full subcategory of the category of all computads.

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Victor Harnik, Michael Makkai, Marek Zawadowski. 2008-11-20. Computads and Multitopic Sets. https://arxiv.org/abs/0811.3215

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