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Ideals determined by some Souslin forcing notions
Haim Judah, Andrzej Roslanowski
We describe a method of building ``nice'' sigma-ideals from Souslin ccc forcing notions. [These notes were written down in 1992, but were not submitted to any journal. In a slightl…
The Cichon diagram
Tomek Bartoszynski, Haim Judah, Saharon Shelah
We conclude the discussion of additivity, Baire number, uniformity and covering for measure and category by constructing the remaining 5 models. Thus we complete the analysis of Ci…
Borel images of sets of reals
Tomek Bartoszynski, Haim Judah
The main goal of this paper is to generalize several results concerning cardinal invariants to the statements about the associated families of sets. We also discuss the relationshi…
Killing Luzin and Sierpinski sets
Haim Judah, Saharon Shelah
We will kill the old Luzin and Sierpinski sets in order to build a model where U(Meager) = U(Null)= aleph_1 and there are neither Luzin nor Sierpinski sets. Thus we answer a questi…
Examples for Souslin forcing
Haim Judah, Andrzej Rosłanowski, Saharon Shelah
We give a model where there is a ccc Souslin forcing which does not satisfy the Knaster condition. Next, we present a model where there is a sigma-linked not sigma-centered Souslin…
Strong measure zero sets without Cohen reals
Martin Goldstern, Haim Judah, Saharon Shelah
If ZFC is consistent, then each of the following are consistent with ZFC + 2^{aleph_0}= aleph_2 : 1.) X subseteq R is of strong measure zero iff |X| <= aleph_1 + there is a general…