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 SM ISO690:2012ARNAUTOV, Vladimir, AUTOR, Nou. On Prebox Module Topologies. In: Mathematical Notes, 2003, vol. 74, pp. 12-17. ISSN 0001-4346. DOI: https://doi.org/10.1023/A:1025054729911 |
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  Mathematical Notes |
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| Volumul 74 / 2003 / ISSN 0001-4346 /ISSNe 1573-8876 | ||||||
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| DOI:https://doi.org/10.1023/A:1025054729911 | ||||||
| Pag. 12-17 | ||||||
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Let R be a complete topological division ring whose topology is determined by a real-valued, valuation, and let M be a vector space over R. It is proved that M admits a Hausdorff module topology preceding the box topology in the lattice of all module topologies if and only if the dimension of the vector space M over R is a measurable cardinal. |
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| Cuvinte-cheie Coatom in a lattice of topologies, Measurable cardinal, Module topology, Prebox module topology, Premaximal module topology |
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