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| HAL : hal-00395898, version 1 |
| DOI : 10.1016/j.aim.2010.01.007 |
| Fiche détaillée |  Récupérer au format |
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| Advances in Mathematics 224, 3 (2010) 1183-1231 |
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| A folk model structure on omega-cat |
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| Yves Lafont 1François Métayer 2 |
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| (20/06/2010) |
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| 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. |
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| 1 : | Institut de Mathématiques de Luminy (IML) |
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CNRS : UPR9016 |
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| 2 : | Preuves, Programmes et Systèmes (PPS) |
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CNRS : UMR7126 – Université Paris VII - Paris Diderot |
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| 3 : | Katedra Informatyki |
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Akademia Gorniczo-Hutnicza Krakow |
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| Domaine | : | Mathématiques/Catégories et ensembles |
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| homotopy – model structure – n-category |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00395898, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00395898 | |
| oai:hal.archives-ouvertes.fr:hal-00395898 | |
| Contributeur : Francois Metayer | |
| Soumis le : Mardi 16 Juin 2009, 16:13:36 | |
| Dernière modification le : Jeudi 22 Avril 2010, 09:52:25 | |
