PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 44(58), pp. 4144 (1988) 

A REMARK ON SUBSETS OF FREE BOOLEAN ALGEBRASZikica Perovi\'cFilozofski fakultet, Nis, YugoslaviaAbstract: We prove that every subalgebra of cardinality $k$, cf$k>\omega$, of a given free Boolean algebra contains an independent set of the same cardinality. As a corollary of this theorem we get, using the Stone duality, some well known results about Cantor spaces. Classification (MSC2000): 06E05, 06E15 Full text of the article:
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