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| HAL : hal-00004657, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Fundamenta Mathematicae 148 (1995) 101-116 |
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| Bounded countable atomic compactness of ordered groups |
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| Friedrich Wehrung 1 |
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| (1995) |
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| We show that whenever $A$ is a monotone $\sigma$-complete dimension group, then $A^+\cup\{\infty\}$ is countably equationally compact, and we show how this property can supply the necessary amount of completeness in several kinds of problems. In particular, if $A$ is a countable dimension group and $E$ is a monotone $\sigma$-complete dimension group, then the ordered group of all relatively bounded homomorphisms from $A$ to $E$ is a monotone $\sigma$-complete dimension group. |
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| 1 : | Laboratoire de Mathématiques Nicolas Oresme (LMNO) |
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CNRS : UMR6139 – Université de Caen Basse-Normandie |
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| Domaine | : | Mathématiques/Mathématiques générales |
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| Monotone $\sigma$-complete groups – dimension groups – equational compactness |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00004657, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00004657 | |
| oai:hal.archives-ouvertes.fr:hal-00004657 | |
| Contributeur : Friedrich Wehrung | |
| Soumis le : Vendredi 8 Avril 2005, 17:49:52 | |
| Dernière modification le : Vendredi 8 Avril 2005, 17:58:34 | |
