Abstract

The Cohen algebra embeds as a complete subalgebra into three classic families of complete, atomless, c.c.c., non-measur- able 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.

Authors