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arXiv · 0712.0617

A folk model structure on omega-cat

Yves Lafont·Francois Metayer·Krzysztof Worytkiewicz
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Abstract

We establish a model structure on the category of strict omega-categories. The constructions leading to the model structure in question are expressed entirely within the scope of omega-categories, building on a set of generating cofibrations and a class of weak equivalences as basic items. All object are fibrant while cofibrant objects are exactly the free ones. Our model structure transfers to n-categories along right-adjoints, for each n, thus recovering the known cases n = 1 and n = 2.

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Yves Lafont, Francois Metayer, Krzysztof Worytkiewicz. 2009-06-17. A folk model structure on omega-cat. https://arxiv.org/abs/0712.0617

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