Applications of the Magidor Iteration to Ultrafilter Theory

Autor:	Benhamou, Tom, Goldberg, Gabriel
Rok vydání:	2024
Předmět:	Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	We characterize sums of normal ultrafilters after the Magidor iteration of Prikry forcings over a discrete set of measurable cardinals. We apply this to show that the weak Ultrapower Axiom is not equivalent to the Ultrapower Axiom. We also construct a non-rigid ultrapower and two uniform ultrafilters on different cardinals that have the same ultrapower.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.09683 Zobrazit plný text záznamu View this record from Arxiv