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Licensed Unlicensed Requires Authentication Published by De Gruyter June 9, 2010

On Nicely Definable Forcing Notions

S. Shelah


We prove that if ℚ is a nw-nep forcing then it cannot add a dominating real. We also show that amoeba forcing cannot be P(X)/I if I is an ℵ1-complete ideal. Furthermore, we generalize the results of [Shelah, Israel J. Math. 88: 159–174, 1994].

Received: 2003-03-05
Revised: 2004-01-07
Published Online: 2010-06-09
Published in Print: 2005-June

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