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Article

Gorelic, Isaac
A note on Boolean algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 523-524
MSC: 03E05, 03G05, 06E05, 06E99 | MR 1307278 | Zbl 0805.04003
Keywords:
Boolean algebras; independent sets
Summary:
We show that splitting of elements of an independent family of infinite regular size will produce a full size independent set.
References:
[NE] Negrepontis S.: Banach Spaces in Topology. Handbook of Set-Theoretic Topology, North Holland, 1984, 1045-1142. MR 0776642
[Ko] Koppelberg S.: General Theory of Boolean Algebras. in Handbook of Boolean Algebras vol. 1, J.D. Monk, R. Bonnet, eds., North Holland, 1989. MR 0991565
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