RO  EN
IMI/Publicaţii/BASM/Ediţii/BASM n.2 (72) -n.3 (73), 2013/

On the number of metrizable group topologies on countable groups

Authors: Arnautov Vladimir, G. N. Ermakova

Abstract

If a countable group G admits a non-discrete metrizable group topology τ0, then in the group G, there are:
- Continuum of non-discrete metrizable group topologies stronger than τ0, and any two of these topologies are incomparable;
- Continuum of non-discrete metrizable group topologies stronger than τ0, and any two of these topologies are comparable.

V. I. Arnautov
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:

G. N. Ermacova
Transnistrian State University
25 October str. 128, Tiraspol, 278000
Moldova
E-mail:

Fulltext

Adobe PDF document0.14 Mb