Abstract
The completeness in the sense of Dieudonné of the space 2X of closed subsets in the Vietoris topology of Lindelöf or a paracompact strongly zero-dimensional space X is proved. Questions related to this result are discussed.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, pp. 1525–1529, November, 1992.
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Panasyuk, S.P., Sultanov, R.S. On the question of the completeness in the sense of Dieudonné of spaces of closed subsets and subgroups. Ukr Math J 44, 1401–1405 (1992). https://doi.org/10.1007/BF01071515
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DOI: https://doi.org/10.1007/BF01071515