On the number of metrizable group topologies on countable groups
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
735 0
SM ISO690:2012
ARNAUTOV, Vladimir, ERMACOVA, Galina. On the number of metrizable group topologies on countable groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, nr. 2-3(73), pp. 17-26. ISSN 1024-7696.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2-3(73) / 2013 / ISSN 1024-7696 /ISSNe 2587-4322

On the number of metrizable group topologies on countable groups

Pag. 17-26

Arnautov Vladimir1, Ermacova Galina2
 
1 Institute of Mathematics and Computer Science ASM,
2 T.G. Shevchenko State University of Pridnestrovie, Tiraspol
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

If a countable group G admits a non-discrete metrizable group topology 0, then in the group G, there are: - Continuum of non-discrete metrizable group topologies stronger than 0, and any two of these topologies are incomparable;- Continuum of non-discrete metrizable group topologies stronger than 0, and any two of these topologies are comparable.

Cuvinte-cheie
Countable group, group topology, Hausdorff topology,

basis of the filter of neighbourhoods, number of group topologies