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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| Datum: | 1992 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8255 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513011477774336 |
|---|---|
| author | Panasyuk, S.P. Sultanov, S.R. Панасюк, С.П. Султанов, С.Р. |
| author_facet | Panasyuk, S.P. Sultanov, S.R. Панасюк, С.П. Султанов, С.Р. |
| author_sort | Panasyuk, S.P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:08Z |
| description | 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. |
| first_indexed | 2026-03-24T03:37:54Z |
| format | Article |
| fulltext |
T44_1525
T44_1526
T44_1527
T44_1528
T44_1529
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| id | umjimathkievua-article-8255 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:54Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/9b/59c67603713d472a8ba3752f1361069b.pdf |
| spelling | umjimathkievua-article-82552024-03-27T09:55:08Z On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups К вопросу о полноте по Дьедонне пространств замкнутых подмножеств и подгрупп Panasyuk, S.P. Sultanov, S.R. Панасюк, С.П. Султанов, С.Р. 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. Доказана полнота по Дьедонне пространства замкнутых подмножеств $2^X$ в топологии Вьеториса-Линделефа или паракомпактного сильно нульмерного пространства $X$. Изучаются связанные с этим результатом вопросы. Доведена повнота за Дьедонне простору замкнених підмножин $2^X$ у топології В’єторіса-Ліндельофа або паракомпактного сильно нульмірного простору $X$. Вивчаються пов’язані з цим результатом питання. Institute of Mathematics, NAS of Ukraine 1992-11-06 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8255 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 11 (1992); 1525-1529 Український математичний журнал; Том 44 № 11 (1992); 1525-1529 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8255/9835 Copyright (c) 1992 S.P. Panasyuk, S.R. Sultanov |
| spellingShingle | Panasyuk, S.P. Sultanov, S.R. Панасюк, С.П. Султанов, С.Р. On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups |
| title | On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups |
| title_alt | К вопросу о полноте по Дьедонне пространств замкнутых подмножеств и подгрупп |
| title_full | On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups |
| title_fullStr | On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups |
| title_full_unstemmed | On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups |
| title_short | On the problem of the Dieudonne completeness of the spaces of closed subspaces and subgroups |
| title_sort | on the problem of the dieudonne completeness of the spaces of closed subspaces and subgroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8255 |
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