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http://hdl.handle.net/10662/17252
| Title: | Les topologies σ-Lebesgue sur C(X) |
| Authors: | Aqzzouz, Belmesnaoui Nouira, Redouane |
| Keywords: | Topología;Topology |
| Issue Date: | 2004 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | We prove that if X is a compact topological space which contains a non trivial metrizable connexe closed subset, then the vector lattice C(X) does not carry any σ-Lebesgue topology. Probamos que si X es un espacio topológico compacto que contiene un subconjunto cerrado de conexiones metrizables no triviales, entonces la red vectorial C(X) no lleva ninguna topología σ-Lebesgue. Nous montrons si X est un espace topologique compact contenant une partie ferm ́ee m ́etrisable connexe et non triviale, alors le treillis vectoriel C(X) n’admet aucune topologie σ-Lebesgue. |
| URI: | http://hdl.handle.net/10662/17252 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 19, nº 3 (2004) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_19_3_313.pdf | 121,9 kB | Adobe PDF | View/Open | |
| 2605-5686_19_3_313_Abstract.pdf | 30,85 kB | Adobe PDF | View/Open |
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