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.
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     author = {A. A. Gryzlov and E. S. Bastrykov},
     title = {On closures of countable sets in {Stone} space of one {Boolean} algebra},
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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/