FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 2, PAGES 615-617

Abelian groups which are narrow with respect to a topology

N. I. Kruchkov

Abstract

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The notion of narrow (in the sense of Łos) group is generalized to topological abelian groups. The characterizations are proposed of a narrow group with respect to a given topology, in terms of subgroups, and also of groups which are narrow with respect to some topologies that are classical in the theory of abelian groups.

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Last modified: March 19, 2005