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Ural Mathematical Journal, 2019, Volume 5, Issue 1, Pages 31–47
DOI: https://doi.org/10.15826/umj.2019.1.004 (Mi umj72) 		 
This article is cited in 4 scientific papers (total in 4 papers)

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
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DOI: https://doi.org/10.15826/umj.2019.1.004
Abstract: 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.
Keywords: maximal linked system, topology, supercompactness, ultrafilter.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00410
This work was supported by Russian Foundation for Basic Research (project no.18-01-00410).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Alexander G. Chentsov, “To a question on the supercompactness of ultrafilter spaces”, Ural Math. J., 5:1 (2019), 31–47
Citation in format AMSBIB
\Bibitem{Che19}
\by Alexander~G.~Chentsov
\paper To a question on the supercompactness of ultrafilter spaces
\jour Ural Math. J.
\yr 2019
\vol 5
\issue 1
\pages 31--47
\mathnet{http://mi.mathnet.ru/umj72}
\crossref{https://doi.org/10.15826/umj.2019.1.004}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3995653}
\zmath{https://zbmath.org/?q=an:07255666}
\elib{https://elibrary.ru/item.asp?id=38948049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073299572}
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    • This publication is cited in the following 4 articles:
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