|
|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, Number 2-3, Pages 17–26
(Mi basm341)
|
 |
|
 |
This article is cited in 6 scientific papers (total in 6 papers)
On the number of metrizable group topologies on countable groups
V. I. Arnautova, G. N. Ermakovab
a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, 5 Academiei str., MD-2028, Chisinau, Moldova
b Transnistrian State University, 25 October str. 128, Tiraspol, 278000 Moldova
Abstract:
If a countable group $G$ admits a non-discrete metrizable group topology $\tau_0$, then in the group $G$, there are:
– Continuum of non-discrete metrizable group topologies stronger than $\tau_0$, and any two of these topologies are incomparable;
– Continuum of non-discrete metrizable group topologies stronger than $\tau_0$, and any two of these topologies are comparable.
Keywords and phrases:
countable group, group topology, Hausdorff topology, basis of the filter of neighbourhoods, number of group topologies, metrizable group topology.
Received: 09.10.2012
Citation:
V. I. Arnautov, G. N. Ermakova, “On the number of metrizable group topologies on countable groups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 2-3, 17–26
Linking options:
https://www.mathnet.ru/eng/basm341 https://www.mathnet.ru/eng/basm/y2013/i2/p17
|
| Statistics & downloads: |
| Abstract page: | 258 | | Full-text PDF : | 43 | | References: | 42 |
|
Citation in format AMSBIB
Contact us: