13 citations · 50 across the 35 of their papers we have counts for
39 papers
The Galvin property at and not at
Moti Gitik, Shachar Herpe
We construct a complete ultrafilter over such that Gal and Gal. This answers a question of T. Benhamou and G. Goldberg.
On ultrafilters in ZF models and indecomposable ultrafilters
Eilon Bilinsky, Moti Gitik
We use indecomposable ultrafilters to answer some questions of Hayut, Karagila paper "Spectra of uniformity". It is shown that the bound on the strength by T. Usuba "A note on unif…
On fresh sets in iterations of Prikry type forcing notions
Moti Gitik, Eyal Kaplan
We examine the existence (and mostly non-existence) of fresh sets in commonly used iterations of Prikry type forcing notions. Results of [4] are generalized. As an application, a q…
The first measurable can be the first inaccessible cardinal
Moti Gitik, Yair Hayut, Asaf Karagila
In [8] the second and third authors showed that if the least inaccessible cardinal is the least measurable cardinal, then there is an inner model with . In this paper we…
Extender-based Magidor-Radin forcings without top extenders
Moti Gitik, Sittinon Jirattikansakul
Continuing \cite{GitJir22}, we develop a version of Extender-based Magidor-Radin forcing where there are no extenders on the top ordinal. As an application, we provide another appr…
On Easton support iteration of Prikry type forcing notions
Moti Gitik, Eyal Kaplan
We consider here Easton support iterations of Prikry type forcing notions. New ways of constructing normal ultrafilters in extensions are presented. It turns out that, in contrast…