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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.