On closures of countable sets in Stone space of one Boolean algebra
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 37-42
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We consider closures of countable subsets of Stone space of one Boolean algebra, which is a compactification of a countable discrete space. We prove the existence of converging sequences in a remainder of this compactification.
Keywords:
Boolean algebra, Stone space, Chech–Stone compactification, converging sequence.
@article{VUU_2011_3_a3,
author = {A. A. Gryzlov and E. S. Bastrykov},
title = {On closures of countable sets in {Stone} space of one {Boolean} algebra},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {37--42},
publisher = {mathdoc},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a3/}
}
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%0 Journal Article %A A. A. Gryzlov %A E. S. Bastrykov %T On closures of countable sets in Stone space of one Boolean algebra %J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki %D 2011 %P 37-42 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VUU_2011_3_a3/ %G ru %F VUU_2011_3_a3
A. A. Gryzlov; E. S. Bastrykov. On closures of countable sets in Stone space of one Boolean algebra. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 37-42. http://geodesic.mathdoc.fr/item/VUU_2011_3_a3/