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More forcing notions imply diamond
Authors:Andrzej Rosłanowski  Saharon Shelah
Affiliation:(1) Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel, IL;(2) Mathematical Institute of Wroclaw University, 50384 Wroclaw, Poland, PL;(3) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel, IL;(4) Department of Mathematics, Rutgers University, New Brunswick, NJ, USA, US
Abstract:We prove that the Sacks forcing collapses the continuum onto , answering the question of Carlson and Laver. Next we prove that if a proper forcing of the size at most continuum collapses then it forces . Received July 4, 1994
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