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Normality in the space of subgroups of the Lie group

It is proved that a connected Lie group is solvable if and only if the space of closed subgroups of this group is normal in the Vietoris topology and any compact segment of subgroups lying in this space is countable.

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Bibliographic Details
Date:	1990
Main Authors:	Panasyuk, S. P., Панасюк, С. П.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1990
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8837
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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