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math.LO2024
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…
math.LO2024
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…
math.LO2023★ 1 cited
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…