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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, Issue 1, Pages 11–16 (Mi vuu359)  
This article is cited in 13 scientific papers (total in 13 papers)

MATHEMATICS

The Stone spaces of Boolean algebras

A. A. Gryzlov, R. A. Golovastov

Department of Algebra and Topology, Udmurt State University, Izhevsk, Russia
Full-text PDF (140 kB) Citations (13)
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Abstract: We consider the Stone spaces $BD$ and $BS$ of two Boolean algebras. We prove, that the subspace $\hat C\subseteq BD$ of free ultrafilters of the space $BD$, and the space $BS$ are homeomorphic to the Cantor set.
Keywords: Boolean algebra, Stone space of Boolean algebra, ultrafilter, сompact.
Received: 11.02.2013
Document Type: Article
UDC: 515.122.536
MSC: 54D35
Language: Russian
Citation: A. A. Gryzlov, R. A. Golovastov, “The Stone spaces of Boolean algebras”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 1, 11–16
Citation in format AMSBIB
\Bibitem{GryGol13}
\by A.~A.~Gryzlov, R.~A.~Golovastov
\paper The Stone spaces of Boolean algebras
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2013
\issue 1
\pages 11--16
\mathnet{http://mi.mathnet.ru/vuu359}
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    • This publication is cited in the following 13 articles:
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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