Some centered systems of sets and points defined by them
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 76-82

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We study a compactification $BN$ of a countable discrete space $N$, which is constructed as the Stone space of a Boolean algebra, and consider the class of subsets from $BN$ that are copies of the space $\beta N$ (the Stone–Čech compactification of the space $N$). Characteristics of points of closure are obtained for centered systems of some families of subsets of the Boolean algebra.
Mots-clés : compactification
Keywords: Stone–Čech compactification, Stone space of a Boolean algebra, centered systems of sets.
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A. A. Gryzlov; E. S. Bastrykov. Some centered systems of sets and points defined by them. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 76-82. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a6/