We show that splitting of elements of an independent family of infinite regular size will produce a full size independent set.
@article{118691,
author = {Isaac Gorelic},
title = {A note on Boolean algebras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {35},
year = {1994},
pages = {523-524},
zbl = {0805.04003},
mrnumber = {1307278},
language = {en},
url = {http://dml.mathdoc.fr/item/118691}
}
Gorelic, Isaac. A note on Boolean algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 523-524. http://gdmltest.u-ga.fr/item/118691/
Banach Spaces in Topology, Handbook of Set-Theoretic Topology, North Holland, 1984, 1045-1142. | MR 0776642
General Theory of Boolean Algebras, in Handbook of Boolean Algebras vol. 1, J.D. Monk, R. Bonnet, eds., North Holland, 1989. | MR 0991565