Was Sierpiński right? III Can continuum-c.c. times c.c.c. be continuum-c.c.? Original Research Article

We prove the consistency of: if B1, B2 are Boolean algebras satisfying the c.c.c. and the 2ℵo-c.c. respectively then B1 × B2 satisfies the 2ℵo-c.c. We start with a universe with a Ramsey cardinal (less suffice).