A folk model structure on omega-cat☆☆☆

By Yves Lafont, François Métayer, Krzysztof Worytkiewicz. 2007

82 citations recorded by the source corpus.

The primary aim of this work is an intrinsic homotopy theory of strict $\omega$-categories. We establish a model structure on $\omega$-Cat, the category of strict $\omega$-categories. The constructions leading to the model structure in question are expressed entirely within the scope of $\omega$-Cat, building on a set of generation cofibrations and a class of weak equivalences as basic items.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/387f0391e211b6069f1c13dc1fb4a7592eb83fd7

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1. P. Malbos
2. Yves Guiraud

Citations in the corpus

• Higher-dimensional normalisation strategies for acyclicity (2010, background): “The compositions satisfy the exchange relations given, for every i 6= j and every possible cells f, g, h and k, by: (f ?i g) ?j (h ?i k) = (f ?j h) ?i (g ?j k).”