Large continuum,oracles |
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| Authors: | Saharon Shelah |
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| Institution: | 1.Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram,The Hebrew University of Jerusalem,Jerusalem,Israel;2.Department of Mathematics, Hill Center — Busch Campus,The State University of New Jersey,Rutgers,USA |
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| Abstract: | Our main theorem is about iterated forcing for making the continuum larger than ℵ2. We present a generalization of 2] which deal with oracles for random, (also for other cases and generalities), by replacing
ℵ1,ℵ2 by λ, λ
+ (starting with λ = λ
<λ
> ℵ1). 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. As in non-Cohen oracles 2], it is a “partial” countable support iteration but it is c.c.c. |
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| Keywords: | |
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