Authors: Arnautov Vladimir, G. N. Ermakova
Abstract
If a countable group
G admits a non-discrete metrizable group topology τ
0, then in the group
G,
there are:
- Continuum of non-discrete metrizable group topologies stronger than τ
0, and any two of these topologies are incomparable;
- Continuum of non-discrete metrizable group topologies stronger than τ
0, 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:
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