Geodesic
The Stone spaces of Boolean algebras
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2013), pp. 11-16

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We consider the Stone spaces $BD$ and $BS$ of two Boolean algebras. We prove, that the subspace $\hat C\subseteq BD$ of free ultrafilters of the space $BD$, and the space $BS$ are homeomorphic to the Cantor set.
Keywords: Boolean algebra, Stone space of Boolean algebra, ultrafilter, сompact. 
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A. A. Gryzlov; R. A. Golovastov. The Stone spaces of Boolean algebras. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2013), pp. 11-16. http://geodesic.mathdoc.fr/item/VUU_2013_1_a1/