Geodesic
Abelian groups which are narrow with respect to a topology
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 2, pp. 615-617.

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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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     author = {N. I. Kryuchkov},
     title = {Abelian groups which are narrow with respect to a topology},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     volume = {2},
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     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_2_a11/}
}
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N. I. Kryuchkov. Abelian groups which are narrow with respect to a topology. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 2, pp. 615-617. http://geodesic.mathdoc.fr/item/FPM_1996_2_2_a11/