Journal article
Independent families in complete Boolean algebras
Abstract
We present a proof (without any set-theoretical assumptions) that every infinite complete Boolean algebra includes a free subalgebra of the same cardinality. It follows that the set of all ultrafilters on an infinite complete Boolean algebra
Authors
Balcar B; Franěk F
Journal
Transactions of the American Mathematical Society, Vol. 274, No. 2, pp. 607–618
Publisher
American Mathematical Society (AMS)
Publication Date
January 1982
DOI
10.1090/s0002-9947-1982-0675069-3
ISSN
0002-9947