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.
Keywords: Stone–Čech compactification, Stone space of a Boolean algebra, centered systems of sets.
@article{TIMM_2011_17_4_a6,
author = {A. A. Gryzlov and E. S. Bastrykov},
title = {Some centered systems of sets and points defined by them},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {76--82},
publisher = {mathdoc},
volume = {17},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a6/}
}
TY - JOUR AU - A. A. Gryzlov AU - E. S. Bastrykov TI - Some centered systems of sets and points defined by them JO - Trudy Instituta matematiki i mehaniki PY - 2011 SP - 76 EP - 82 VL - 17 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a6/ LA - ru ID - TIMM_2011_17_4_a6 ER -
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/