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arXiv · 2305.07880

Aronszajn trees and maximality

Omer Ben-Neria·Siiri Kivimäki·Menachem Magidor·Jouko Väänänen
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Abstract

Assuming the consistency of a weakly compact cardinal above a regular uncountable cardinal $μ$, we prove the consistency of the existence of a wide $μ^+$-Aronszajn tree, i.e. a tree of height and cardinality $μ^+$ with no branches of length $μ^+$, into which every wide $μ^+$-Aronszajn tree can be embedded.

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Omer Ben-Neria, Siiri Kivimäki, Menachem Magidor, Jouko Väänänen. 2025-12-04. Aronszajn trees and maximality. https://arxiv.org/abs/2305.07880

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