14 citations · 27 across the 6 of their papers we have counts for
7 papers
Groupoidal polygraphic homology
Léonard Guetta, François Métayer
We show that for a 1-category C, the (ω, k)-polygraphic homology of C for any k {\geq} 1, that is taken with cofibrant resolutions in strict (ω, k)- categories, does not depend on…
Polygraphs: From Rewriting to Higher Categories
Dimitri Ara, Albert Burroni, Yves Guiraud +3
Polygraphs are a higher-dimensional generalization of the notion of directed graph. Based on those as unifying concept, this monograph on polygraphs revisits the theory of rewritin…
Orientals as free algebras
Dimitri Ara, Yves Lafont, François Métayer
The aim of this paper is to give an alternative construction of Street's cosimplicial object of orientals, based on an idea of Burroni that orientals are free algebras for some alg…
The Brown-Golasinski model structure on strict -groupoids revisited
Dimitri Ara, François Métayer
We prove that the folk model structure on strict -categories transfers to the category of strict -groupoids (and more generally to the category of strict $(\infty,…
A folk model structure on omega-cat
Yves Lafont, Francois Metayer, Krzysztof Worytkiewicz
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 o…
Cofibrant complexes are free
Francois Metayer
We define a notion of cofibration among n-categories and show that the cofibrant objects are exactly the free ones, that is those generated by polygraphs.