Geodesic
A Remark on Subsets of Free Boolean Algebras
Publications de l'Institut Mathématique, _N_S_44 (1988) no. 58, p. 41

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
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     author = {\v{Z}ikica Perovi\'c},
     title = {A {Remark} on {Subsets} of {Free} {Boolean} {Algebras}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {41 },
     publisher = {mathdoc},
     volume = {_N_S_44},
     number = {58},
     year = {1988},
     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/