TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES
The space of ultrafilters of a \(\pi\)-system endowed with the topology of Wallman type is considered. The question on the supercompactness of this space is investigated. For this, the enveloping space of maximal linked systems with the corresponding topology of Wallman type is used. Necessary and s...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2019-07-01
|
| Series: | Ural Mathematical Journal |
| Subjects: | |
| Online Access: | https://umjuran.ru/index.php/umj/article/view/146 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849249242372112384 |
|---|---|
| author | Alexander G. Chentsov |
| author_facet | Alexander G. Chentsov |
| author_sort | Alexander G. Chentsov |
| collection | DOAJ |
| description | The space of ultrafilters of a \(\pi\)-system endowed with the topology of Wallman type is considered. The question on the supercompactness of this space is investigated. For this, the enveloping space of maximal linked systems with the corresponding topology of Wallman type is used. Necessary and sufficient conditions for the coincidence of the set of all ultrafilters of the initial \(\pi\)-system and the set of all maximal linked systems for this \(\pi\)-system are obtained. Specific variants of wide sense measurable spaces with this coincidence property are given. |
| format | Article |
| id | doaj-art-ad528daebf8d45beb3f6019b80fbbb2d |
| institution | Kabale University |
| issn | 2414-3952 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-ad528daebf8d45beb3f6019b80fbbb2d2025-08-20T03:57:39ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522019-07-015110.15826/umj.2019.1.00474TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACESAlexander G. Chentsov0Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, EkaterinburgThe space of ultrafilters of a \(\pi\)-system endowed with the topology of Wallman type is considered. The question on the supercompactness of this space is investigated. For this, the enveloping space of maximal linked systems with the corresponding topology of Wallman type is used. Necessary and sufficient conditions for the coincidence of the set of all ultrafilters of the initial \(\pi\)-system and the set of all maximal linked systems for this \(\pi\)-system are obtained. Specific variants of wide sense measurable spaces with this coincidence property are given.https://umjuran.ru/index.php/umj/article/view/146Максимальные сцепленные системыультрафильтр |
| spellingShingle | Alexander G. Chentsov TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES Ural Mathematical Journal Максимальные сцепленные системы ультрафильтр |
| title | TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES |
| title_full | TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES |
| title_fullStr | TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES |
| title_full_unstemmed | TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES |
| title_short | TO A QUESTION ON THE SUPERCOMPACTNESS OF ULTRAFILTER SPACES |
| title_sort | to a question on the supercompactness of ultrafilter spaces |
| topic | Максимальные сцепленные системы ультрафильтр |
| url | https://umjuran.ru/index.php/umj/article/view/146 |
| work_keys_str_mv | AT alexandergchentsov toaquestiononthesupercompactnessofultrafilterspaces |