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A small ultrafilter number at all ℵ3≤κ<ℵω

2025/08/10 by Julian Eshkol, Eshkol, Julian
Mathematics · Computer Science · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2508.07456

Abstract

This note shows how recent work of Eskew and Hayut can be combined with a method of Raghavan and Shelah to show the consistency of \mathfrak uκ&lt;2κ for ℵ3≤ κ&lt;ℵω, from a huge cardinal.

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