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

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Was Sierpinski Right? III: Can Continuum-cc. Times c.c.c. be Continuum-c.c.?

We prove the consistency of: if B1, B2 are Boolean algebras satisfying the c.c.c. and the 20 -c.c. respectively then B1 × B2 satisfies the 20 -c.c. We start with a universe with a Ramsey cardinal (less suffice). Typed 5/92 Latest Revision 1/13/95 I thank Alice Leonhardt for the beautiful typing §1 corrected 4/94 Partially supported by the basic research fund, Israeli Academy Typeset by AMS-TEX 1

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 1996

ISSN: 0168-0072

DOI: 10.1016/0168-0072(95)00036-4