2 papers
math.LO2026
The number of measures on very large measurable cardinals
Arthur W. Apter, Eyal Kaplan, Alejandro Poveda
We study the possible number of normal measures on a measurable cardinal in settings where inner model techniques are unavailable. Instead, we exploit consequences of the Ultrapowe…
math.LO2024
A Kunen-Like Model with a Critical Failure of the Continuum Hypothesis
Omer Ben-Neria, Eyal Kaplan
We construct a model of the form that exhibits the simplest structural behavior of -complete ultrafilters in a model of set theory with a single measurable cardinal $Î…