On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups

The completeness in the sense of Dieudonné of the space $2^X$ 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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Bibliographic Details
Date:1992
Main Authors: Panasyuk, S.P., Sultanov, S.R., Панасюк, С.П., Султанов, С.Р.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8255
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal