Ben-Zion Weltsch

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math.LO2026

On the Intermediate Models of Strongly Compact Prikry Forcing

Tom Benhamou, Sebastiano Thei, Ben-Zion Weltsch

We analyze the intermediate models of the strongly compact Prikry forcing. We exhibit a simple combinatorial property which, for a given supercompact cardinal $κ$ , characterize the…

math.LO2025

Supercompact Measures and the Galvin Property

Tom Benhamou, Ben-Zion Weltsch

We study saturation properties of $σ$ -complete measures on $P_{κ} (λ)$ , where $λ$ can be either regular or singular. In particular, we prove that in contrast to Galvin's theorem, the…