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Algebră (413) |
![]() 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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<meta name="citation_title" content="On the number of group topologies on countable groups"> <meta name="citation_author" content="Arnautov Vladimir"> <meta name="citation_author" content="Ermacova Galina"> <meta name="citation_publication_date" content="2014/02/04"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="74"> <meta name="citation_issue" content="1"> <meta name="citation_firstpage" content="101"> <meta name="citation_lastpage" content="112"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/On%20the%20number%20of%20group%20topologies%20on%20countable%20groups.pdf">