3 papers
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.LO2023
The Spectra of transitive models
Eilon Bilinsky, Yair Hayut
In this paper we study the spectrum of heights of transitive models of theories extending , under various definitions. In particular, we investigate the consistency stren…
math.LO2017
On uncountable strongly concentrated sets of reals
Eilon Bilinsky
We construct new models of with an uncountable set of reals that has a unique condensation point. This addresses a question by Sierpiński from 1918.