- continuum
*c*of non-discrete metrizable group topologies such that sup{τ_{1}; τ_{2}} 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:

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