Geodesic
On closures of countable subsets of~$BN$
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 15-20

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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.
Mots-clés : compactification
Keywords: Stone–Chech compactification, Stone space of Boolean algebra, centered system of sets. 
@article{VUU_2011_3_a1,
     author = {E. S. Bastrykov},
     title = {On closures of countable subsets of~$BN$},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {15--20},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a1/}
}
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E. S. Bastrykov. On closures of countable subsets of~$BN$. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 15-20. http://geodesic.mathdoc.fr/item/VUU_2011_3_a1/