Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 437-442
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V. M. Poletskikh. Certain discreteness conditions imposed on topological groups. Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 437-442. http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a13/
@article{MZM_1973_13_3_a13,
author = {V. M. Poletskikh},
title = {Certain discreteness conditions imposed on topological groups},
journal = {Matemati\v{c}eskie zametki},
pages = {437--442},
year = {1973},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a13/}
}
TY - JOUR
AU - V. M. Poletskikh
TI - Certain discreteness conditions imposed on topological groups
JO - Matematičeskie zametki
PY - 1973
SP - 437
EP - 442
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a13/
LA - ru
ID - MZM_1973_13_3_a13
ER -
%0 Journal Article
%A V. M. Poletskikh
%T Certain discreteness conditions imposed on topological groups
%J Matematičeskie zametki
%D 1973
%P 437-442
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a13/
%G ru
%F MZM_1973_13_3_a13
The paper studies locally compact groups in which any closed subset generates, in the algebraic sense, a subgroup which is closed. It is proven that all such groups are discrete.