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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
To a question on the supercompactness of ultrafilter spaces
Alexander G. Chentsov Krasovskii Institute of Mathematics and Mechanics,
Ural Branch of the Russian Academy of Sciences,
16 S. Kovalevskaya str., Ekaterinburg, Russia, 620990
Аннотация:
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.
Ключевые слова:
maximal linked system, topology, supercompactness, ultrafilter.
Образец цитирования:
Alexander G. Chentsov, “To a question on the supercompactness of ultrafilter spaces”, Ural Math. J., 5:1 (2019), 31–47
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj72 https://www.mathnet.ru/rus/umj/v5/i1/p31
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Страница аннотации: | 168 | PDF полного текста: | 47 | Список литературы: | 24 |
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