On the number of group topologies on countable groups
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
1069 4
Ultima descărcare din IBN:
2020-09-08 12:06
Căutarea după subiecte
similare conform CZU
512.546.6 (1)
Algebră (413)
SM ISO690:2012
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.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(74) / 2014 / ISSN 1024-7696 /ISSNe 2587-4322

On the number of group topologies on countable groups
CZU: 512.546.6

Pag. 101-112

Arnautov Vladimir1, Ermacova Galina2
 
1 Institute of Mathematics and Computer Science ASM,
2 T.G. Shevchenko State University of Pridnestrovie, Tiraspol
 
 
Disponibil în IBN: 18 iunie 2014


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.

Cuvinte-cheie
Countable group, group topology, Hausdorff topology, basis of the filter of neighborhoods

Google Scholar Export

<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">