Abstract
It is proved that the space of closed subgroupsL (G) of a locally compact σ-compact group G is a k-space if and only if each noncompact subgroup of G can be represented as the intersection of a countable number of open sets.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 789–794, June, 1990.
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Piskunov, A.G. Reconstruction of the vietoris topology from compacta in the space of closed subgroups. Ukr Math J 42, 697–701 (1990). https://doi.org/10.1007/BF01058916
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DOI: https://doi.org/10.1007/BF01058916