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Our main theorem is about iterated forcing for making the continuum larger than ℵ 2. We present a generalization of [Sh:669] which dealt with oracles for random, (also for other cases and generalities), by replacing ℵ 1 , ℵ 2 by λ, λ + (starting with λ = λ <λ > ℵ 1). Well, we demand absolute c.c.c. So we get, e.g. the continuum is λ + but we can get cov(meagre) = λ and we give some applications...
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ژورنال
عنوان ژورنال: Central European Journal of Mathematics
سال: 2010
ISSN: 1895-1074,1644-3616
DOI: 10.2478/s11533-010-0018-3