9.46 (1984)
SolvedLet $G$ be a locally compact group of countable weight and $L(G)$ the space of all its closed subgroups equipped with the $E$-topology. Then is $L(G)$ a $k$-space?
Progress
Yes (I. V. Protasov, Dokl. Akad. Nauk Ukr. SSR Ser. A, 10 (1986), 64–66 (Russian)).
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