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- W2090591329 abstract "Le but principal de cet article est de prouver que la catégorie cellulaire Θ de Joyal est une catégorie test stricte au sens de Grothendieck. Cela implique en particulier que les ensembles cellulaires, préfaisceaux sur Θ , modélisent les types d’homotopie en un sens très précis, et ceci de façon compatible au produit cartésien. Pour cela, on développe un formalisme de décalages sur une petite catégorie, ou sur un foncteur, présentant un intérêt indépendant, et ayant d’autres applications. The principal aim of this article is to prove that the cellular category Θ of Joyal is a strict test category in Grothendieck’s sense. In particular, this implies that cellular sets, presheaves on Θ , modelize homotopy types in a very precise sense, and this in a way compatible with finite cartesian products. To achieve this, we develop a formalism of “décalages” on a small category, or on a functor, of independent interest and having other applications." @default.
- W2090591329 created "2016-06-24" @default.
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- W2090591329 date "2011-05-01" @default.
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- W2090591329 title "La catégorie <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mstyle mathvariant=bold><mml:mi>Θ</mml:mi></mml:mstyle></mml:math> de Joyal est une catégorie test" @default.
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- W2090591329 doi "https://doi.org/10.1016/j.jpaa.2010.07.003" @default.
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