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/
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