%0 Journal Article
%T A folk model structure on omega-cat
%+ Institut de mathématiques de Luminy (IML)
%+ Preuves, Programmes et Systèmes (PPS)
%+ Katedra Informatyki
%A Lafont, Yves
%A Métayer, François
%A Worytkiewicz, Krzysztof
%Z - 33 pages - version complète de l'article préliminaire de même titre [hal-00194231/fr]
%< avec comité de lecture
%@ 0001-8708
%J Advances in Mathematics
%I Elsevier
%V 224
%N 3
%P 1183-1231
%8 2010-06-20
%D 2010
%R 10.1016/j.aim.2010.01.007
%K homotopy
%K model structure
%K n-category
%Z MSC 18D05
%Z Mathematics [math]/Category Theory [math.CT]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-00395898/document
%2 https://hal.science/hal-00395898/file/folkms.pdf
%L hal-00395898
%U https://hal.science/hal-00395898
%~ UNIV-PARIS7
%~ PPS
%~ CNRS
%~ UNIV-AMU
%~ IML
%~ I2M
%~ UNIV-PARIS