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Ural Mathematical Journal, 2017, Volume 3, Issue 2, Pages 100–121
DOI: https://doi.org/10.15826/umj.2017.2.012 (Mi umj47) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Some representations connected with ultrafilters and maximal linked systems

Alexander G. Chentsov

Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (242 kB) Citations (12)
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DOI: https://doi.org/10.15826/umj.2017.2.012
Abstract: Ultrafilters and maximal linked systems (MLS) of a lattice of sets are considered. Two following variants of topological equipment are investigated: the Stone and Wallman topologies. These two variants are used both in the case of ultrafilters and for space of MLS. Under Wallman equipment, an analog of superextension is realized. Namely, the space of MLS with topology of the Wallman type is supercompact topological space. By two above-mentioned equipments a bitopological space is realized.
Keywords: Lattice, Linked system, Ultrafilter.
Bibliographic databases:
Document Type: Article
Language: English
Citation: Alexander G. Chentsov, “Some representations connected with ultrafilters and maximal linked systems”, Ural Math. J., 3:2 (2017), 100–121
Citation in format AMSBIB
\Bibitem{Che17}
\by Alexander~G.~Chentsov
\paper Some representations connected with ultrafilters and maximal linked systems
\jour Ural Math. J.
\yr 2017
\vol 3
\issue 2
\pages 100--121
\mathnet{http://mi.mathnet.ru/umj47}
\crossref{https://doi.org/10.15826/umj.2017.2.012}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3746956}
\elib{https://elibrary.ru/item.asp?id=32334103}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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