Geodesic
A note on Boolean algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 3, pp. 523-524.

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We show that splitting of elements of an independent family of infinite regular size will produce a full size independent set.
Classification : 03E05, 03G05, 06E05, 06E99
Keywords: Boolean algebras; independent sets 
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Gorelic, Isaac. A note on Boolean algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 3, pp. 523-524. http://geodesic.mathdoc.fr/item/CMUC_1994__35_3_a8/