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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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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Arnautov, V.I.</dc:creator> <dc:creator>Autor, N.</dc:creator> <dc:date>2003-07-01</dc:date> <dc:description xml:lang='en'><p>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.</p></dc:description> <dc:identifier>10.1023/A:1025054729911</dc:identifier> <dc:source>Mathematical Notes () 12-17</dc:source> <dc:subject>Coatom in a lattice of topologies</dc:subject> <dc:subject>Measurable cardinal</dc:subject> <dc:subject>Module topology</dc:subject> <dc:subject>Prebox module topology</dc:subject> <dc:subject>Premaximal module topology</dc:subject> <dc:title>On Prebox Module Topologies</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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