A folk model structure on omega-cat

Details A folk model structure on omega-cat A folk model structure on omega-cat

2007-12-04

arxiv.org/abs/0712.0617v2

Mathematics

Category Theory

33 pages, expanded version of the original 17 pages synopsis, new sections added

Scientific paper

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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