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Algebră (414) |
![]() ARNAUTOV, Vladimir, ERMACOVA, Galina. On the number of group topologies on countable groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2014, nr. 1(74), pp. 101-112. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(74) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.546.6 | ||||||
Pag. 101-112 | ||||||
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Rezumat | ||||||
If a countable group G admits a non-discrete Hausdorff group topology, then the lattice of all group topologies of the group G admits:{ continuum c of non-discrete metrizable group topologies such that supf¿1; ¿2g is the discrete topology for any two of these topologies; { two to the power of continuum of coatoms in the lattice of all group topologies. |
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Cuvinte-cheie Countable group, group topology, Hausdorff topology, basis of the filter of neighborhoods |
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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>Ermacova, G.N.</dc:creator> <dc:date>2014-02-04</dc:date> <dc:description xml:lang='en'>If a countable group G admits a non-discrete Hausdorff group topology, then the lattice of all group topologies of the group G admits:{ continuum c of non-discrete metrizable group topologies such that supf¿1; ¿2g is the discrete topology for any two of these topologies; { two to the power of continuum of coatoms in the lattice of all group topologies.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 74 (1) 101-112</dc:source> <dc:subject>Countable group</dc:subject> <dc:subject>group topology</dc:subject> <dc:subject>Hausdorff topology</dc:subject> <dc:subject>basis of the filter of neighborhoods</dc:subject> <dc:title>On the number of group topologies on countable groups</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>