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- MOTI GITIK
- 2007

We construct a model of ¬SCH+¬AP+ (Very Good Scale). This answers questions of Cummings, Foreman, Magidor and Woodin.

- Moti Gitik, Saharon Shelah
- Arch. Math. Log.
- 1989

- Moti Gitik
- J. Symb. Log.
- 1985

- MOTI GITIK
- 2010

We prove the following Theorem. Suppose M is a countable model of ZFC and k is an almost huge cardinal in M. Let A be a subset of k consisting of nonlimit ordinals. Then there is a model NA of ZF such that S0 is a regular cardinal in NA iff a e A for every a > 0. 0. Introduction. We consider the following question. What are the restrictions in ZF on the… (More)

- Moti Gitik
- 2004

The paper is concerned with methods for blowing power of singular cardinals using short extenders. Thus, for example, starting with κ of cofinality ω with {α < κ | o(α) ≥ α+n} cofinal in κ for every n < ω we construct a cardinal preserving extension having the same bounded subsets of κ and satisfying 2κ = κ+δ+1 for any δ < א1.

- Moti Gitik
- Ann. Pure Appl. Logic
- 1991

- Moti Gitik
- Ann. Pure Appl. Logic
- 1996

- Moti Gitik, Saharon Shelah
- Ann. Pure Appl. Logic
- 1993

We construct two universes V1, V2 satisfying the following GCH below אω, 2ω = אω+2 and the topological density of the space אω 2 with א0 box product topology d<א1(אω) is אω+1 in V1 and אω+2 in V2. Further related results are discussed as well.

- Moti Gitik
- J. Symb. Log.
- 1999

A method of iteration of Prikry type forcing notions as well as a forcing for adding clubs is presented. It is applied to construct a model with a measurable cardinal containing a club of former regulars, starting with o(κ) = κ+ 1. On the other hand, it is shown that the strength of above is at least o(κ) = κ. Suppose that κ is an inaccessible cardinal. We… (More)