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Metrizability in a space of subgroups of a Lie group

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Abstract

It is proved that a space of closed subgroups of a solvable connected Lie group in the Vietoris topology is metrizable by a complete metric. The converse is shown to be false.

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Literature cited

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Authors and Affiliations

  1. Kiev

    S. P. Panasyuk

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  1. S. P. Panasyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 351–355, March, 1990.

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Panasyuk, S.P. Metrizability in a space of subgroups of a Lie group. Ukr Math J 42, 313–316 (1990). https://doi.org/10.1007/BF01057015

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  • DOI: https://doi.org/10.1007/BF01057015

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