Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 3, Pages 15–20
DOI: https://doi.org/10.20537/vm110302
(Mi vuu279)
 

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On closures of countable subsets of $BN$

E. S. Bastrykov

Department of Algebra and Topology, Udmurt State University, Izhevsk, Russia
Full-text PDF (139 kB) Citations (1)
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Abstract: We consider a compactification $BN$ of a countable discrete space $N$. The paper describes some properties of the closures of subsets of $BN$, which consist of points belonging to different classes. We prove the existence of points which do not belong to the classes obtained before.
Keywords: compactification, Stone–Chech compactification, Stone space of Boolean algebra, centered system of sets.
Received: 25.07.2011
Document Type: Article
UDC: 515.122.536
MSC: 54D35, 54D80, 54-06
Language: Russian
Citation: E. S. Bastrykov, “On closures of countable subsets of $BN$”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 15–20
Citation in format AMSBIB
\Bibitem{Bas11}
\by E.~S.~Bastrykov
\paper On closures of countable subsets of~$BN$
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 3
\pages 15--20
\mathnet{http://mi.mathnet.ru/vuu279}
\crossref{https://doi.org/10.20537/vm110302}
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  • https://www.mathnet.ru/eng/vuu/y2011/i3/p15
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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    Abstract page:275
    Full-text PDF :157
    References:58
    First page:1
     
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