Geodesic
A Remark on Subsets of Free Boolean Algebras
Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 41 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 : 06E05 06E15 
@article{PIM_1988_N_S_44_58_a5,
     author = {\v{Z}ikica Perovi\'c},
     title = {A {Remark} on {Subsets} of {Free} {Boolean} {Algebras}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {41 },
     year = {1988},
     volume = {_N_S_44},
     number = {58},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a5/}
}
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Žikica Perović. A Remark on Subsets of Free Boolean Algebras. Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 41 . http://geodesic.mathdoc.fr/item/PIM_1988_N_S_44_58_a5/