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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
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
Citation:
E. S. Bastrykov, “On closures of countable subsets of $BN$”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 15–20
Linking options:
https://www.mathnet.ru/eng/vuu279 https://www.mathnet.ru/eng/vuu/y2011/i3/p15
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Abstract page: | 275 | Full-text PDF : | 157 | References: | 58 | First page: | 1 |
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