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
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

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.
@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},
     year = {2011},
     volume = {17},
     number = {4},
     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
UR  - http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a6/
LA  - ru
ID  - TIMM_2011_17_4_a6
ER  - 
%0 Journal Article
%A A. A. Gryzlov
%A E. S. Bastrykov
%T Some centered systems of sets and points defined by them
%J Trudy Instituta matematiki i mehaniki
%D 2011
%P 76-82
%V 17
%N 4
%U http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a6/
%G ru
%F TIMM_2011_17_4_a6
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/

[1] Bell M. G., “Compact ccc non-separable spaces of small weight”, Topology Proceedings, 5 (1980), 11–25 | MR

[2] Gryzlov A. A., Bastrykov E. S., Golovastov R. A., “On Bells compactification of $N$”, Topology Proceedings, 35 (2010), 177–185 | MR | Zbl

[3] Bastrykov E. S., “O nekotorykh tochkakh rasshireniya Bella schetnogo diskretnogo prostranstva”, Vest. Udmurt. un-ta. Matematika. Mekhanika. Kompyuternye nauki, 2009, no. 4, 3–6

[4] Gryzlov A. A., Bastrykov E. S., Golovastov R. A., “O tochkakh odnogo bikompaktnogo rasshireniya $N$”, Vest. Udmurt. un-ta. Matematika. Mekhanika. Kompyuternye nauki, 2010, no. 3, 10–17

[5] Engelking R., Obschaya topologiya, Mir, Moskva, 1986, 751 pp. | MR