Sets in Prikry and Magidor Generic Extensions
Tom Benhamou, Moti Gitik
TL;DR
This paper investigates the properties of sets within certain generic extensions of set theory, specifically those created by Magidor and Prikry forcings with non-normal ultrafilters, building on prior foundational work.
Contribution
It extends previous research by analyzing sets in new types of generic extensions generated by Magidor and Prikry forcings with non-normal ultrafilters.
Findings
Characterization of sets in Magidor generic extensions
Analysis of sets in Prikry forcing with non-normal ultrafilters
Comparison with earlier results in similar forcing extensions
Abstract
We continue Gitik, Kanovei and Koepke's work and study sets in generic extensions by the Magidor forcing and by the Prikry forcing with non-normal ultrafilters.
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