@article{BenNeria2020DiagonalSR,
author={Omer Ben-Neria and Chris Lambie-Hanson and Spencer Unger},
journal={Ann. Pure Appl. Log.},
year={2020},
volume={171},
pages={102828}
}
• Published 6 April 2016
• Mathematics
• Ann. Pure Appl. Log.
2 Citations

### Another method for constructing models of not approachability and not SCH

A new method of constructing a model of SCH+ is presented, which simplifies the construction of models of the model of AP by 90% and halves the complexity of the original model by 90%.

### Global Chang’s Conjecture and singular cardinals

• Materials Science
European journal of mathematics
• 2021
It is proved relative to large cardinals that Chang’s Conjecture can consistently hold between all pairs of limit cardinals below the minimal level.

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• Mathematics
Arch. Math. Log.
• 1996
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Motivated by showing that in ZFC we cannot construct a special Aronszajn tree on some cardinal greater than $\aleph_1$, we produce a model in which the approachability property fails (hence there are

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A model is found in which there is a supercompact cardinal κ which remains supercompact in any κ-directed closed forcing extension.

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Given a regular cardinal λ and λ many supercompact cardinals, we describe a type of forcing such that in the generic extension there is a cardinal κ with cofinality λ, the Singular Cardinal

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Abstract We show that given ω many supercompact cardinals, there is a generic extension in which the tree property holds at ℵω2+ 1 and the SCH fails at ℵω2.

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One of the central topics of set theory since Cantor has been the study of the power function κ→2 κ . The basic problem is to determine all the possible values of 2 κ for a cardinal κ. Paul Cohen

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A type of forcing is described such that in the generic extension the cofinality of κ is λ, there is a very good scale at κ, a bad scale atκ, and SCH at λ fails.