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| HAL : hal-00449826, version 1 |
| arXiv : 1001.4071 |
| Fiche détaillée |  Récupérer au format |
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| Homotopy theory of higher categories |
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| Carlos Simpson 1 |
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| (22/01/2010) |
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| This is the first draft of a book about higher categories approached by iterating Segal's method, as in Tamsamani's definition of $n$-nerve and Pelissier's thesis. If $M$ is a tractable left proper cartesian model category, we construct a tractable left proper cartesian model structure on the category of $M$-precategories. The procedure can then be iterated, leading to model categories of $(\infty , n)$-categories. |
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| 1 : | Laboratoire Jean Alexandre Dieudonné (JAD) |
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CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS) |
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| Domaine | : | Mathématiques/Catégories et ensembles Mathématiques/Géométrie algébrique Mathématiques/Topologie algébrique |
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| hal-00449826, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00449826 | |
| oai:hal.archives-ouvertes.fr:hal-00449826 | |
| Contributeur : Carlos Simpson | |
| Soumis le : Vendredi 22 Janvier 2010, 17:26:02 | |
| Dernière modification le : Vendredi 22 Janvier 2010, 21:55:15 | |
