Complete embeddings of the Cohen algebra into three families of c.c.c., non-measurable Boolean algebras
Natasha Dobrinen · Pacific Journal of Mathematics · 2004
The Cohen algebra embeds as a complete subalgebra into three classic families of complete, atomless, c.c.c., non-measurable Boolean algebras; namely, the families of Argyros algebras and Galvin-Hajnal algebras, and the atomless part of each Gaifman algebra.It immediately follows that the weak (ω, ω)-distributive law fails everywhere in each of these Boolean algebras.