Applications of the Magidor Iteration to Ultrafilter Theory

Published 12 Dec 2024 in math.LO | (2412.09683v1)

Abstract: 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.

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