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| HAL : hal-00175368, version 2 |
| arXiv : 0709.4469 |
| Fiche détaillée |  Récupérer au format |
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| Acta Universitatis Szegediensis. Acta Scientiarum Mathematicarum 73 (2007) 429--443 |
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| Versions disponibles : | v1 (27-09-2007) | v2 (15-10-2007) |
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| Embedding coproducts of partition lattices |
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| Friedrich Wehrung 1 |
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| (2007) |
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| We prove that the lattice Eq(X) of all equivalence relations on an infinite set X contains, as a 0,1-sublattice, the 0-coproduct of two copies of itself, thus answering a question by G.M. Bergman. Hence, by using methods initiated by de Bruijn and further developed by Bergman, we obtain that Eq(X) also contains, as a sublattice, the coproduct of 2^{card(X)} copies of itself. |
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| 1 : | Laboratoire de Mathématiques Nicolas Oresme (LMNO) |
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CNRS : UMR6139 – Université de Caen |
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| Domaine | : | Mathématiques/Anneaux et algèbres Mathématiques/Mathématiques générales |
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| Lattice – equivalence relation – embedding – coproduct – ideal – filter – upper continuous |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00175368, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00175368 | |
| oai:hal.archives-ouvertes.fr:hal-00175368 | |
| Contributeur : Friedrich Wehrung | |
| Soumis le : Lundi 15 Octobre 2007, 18:39:54 | |
| Dernière modification le : Mardi 5 Février 2008, 18:01:04 | |
