Restorability of the Vietoris topology according to the compacts in the space of closed subgroups

• Datum: 1990
• Hauptverfasser: Piskunov, A. G., Пискунов, А. Г.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1990
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/8838
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

It is proved that the space of closed subgroups ${\mathfrak L} (G)$ of a locally compact $\sigma$-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.