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PREUVES, PROGRAMMES et SYSTÈMES |  |
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PREUVES, PROGRAMMES et SYSTÈMES | |
| HAL : hal-00150919, version 1 |
| Fiche détaillée |  Récupérer au format |
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| The New York Journal of Mathematics 12 (2006) 63--95 |
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| T-homotopy and refinement of observation (IV) : Invariance of the underlying homotopy type |
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| Philippe Gaucher 1 |
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| (04/06/2006) |
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| This series explores a new notion of T-homotopy equivalence of flows. The new definition involves embeddings of finite bounded posets preserving the bottom and the top elements and the associated cofibrations of flows. In this fourth part, it is proved that the generalized T-homotopy equivalences preserve the underlying homotopy type of a flow. The proof is based on Reedy model category techniques. |
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| 1 : | Preuves, Programmes et Systèmes (PPS) |
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CNRS : UMR7126 – Université Paris VII - Paris Diderot |
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| Domaine | : | Mathématiques/Topologie algébrique Mathématiques/Catégories et ensembles |
| hal-00150919, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00150919 | |
| oai:hal.archives-ouvertes.fr:hal-00150919 | |
| Contributeur : Philippe Gaucher | |
| Soumis le : Vendredi 1 Juin 2007, 05:41:07 | |
| Dernière modification le : Vendredi 1 Juin 2007, 06:17:28 | |
