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arXiv · 2508.14619

The Galvin property at $\kappa^{++}$ and not at $\kappa^+$

Moti Gitik·Shachar Herpe
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Abstract

We construct a $\kappa-$complete ultrafilter $W$ over $\kappa$ such that $\neg$Gal$(\kappa, W, \kappa^+)$ and Gal$(\kappa, W, \kappa^{++})$. This answers a question of T. Benhamou and G. Goldberg.

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Moti Gitik, Shachar Herpe. 2025-08-20. The Galvin property at $\kappa^{++}$ and not at $\kappa^+$. https://arxiv.org/abs/2508.14619

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