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Abstract

We prove that the Sacks forcing collapses the continuum onto d, answering the question of Carlson and Laver. Next we prove that if a proper forcing of the size at most continuum collapses ω2 then it forces ♦ω1. Research partially supported by KBN 654/2/91 Research partially supported by “Basic Research Foundation” administered by The Israel Academy of… (More)

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