Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the number of group topologies on countable groups
Authors: Arnautov Vladimir, G. N. Ermakova
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Abstract
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 sup{τ1; τ2} 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.
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:
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
– 0.19 Mb
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