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| HAL : hal-00512369, version 1 |
| arXiv : 1008.5031 |
| Fiche détaillée |  Récupérer au format |
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| On uniform canonical bases in $L_p$ lattices and other metric structures |
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| Itaï Ben Yaacov 1 |
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| (2010) |
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| We discuss the notion of \emph{uniform canonical bases}, both in an abstract manner and specifically for the theory of atomless $L_p$ lattices. We also discuss the connection between the definability of the set of uniform canonical bases and the existence of the theory of beautiful pairs (i.e., with the finite cover property), and prove in particular that the set of uniform canonical bases is definable in algebraically closed metric valued fields. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées de Lyon |
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| Domaine | : | Mathématiques/Logique |
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| stable theory – uniform canonical base – $L_p$ Banach lattice – beautiful pairs |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00512369, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00512369 | |
| oai:hal.archives-ouvertes.fr:hal-00512369 | |
| Contributeur : Itaï Ben Yaacov | |
| Soumis le : Lundi 30 Août 2010, 11:23:41 | |
| Dernière modification le : Lundi 30 Août 2010, 11:33:40 | |
