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arXiv · 2511.06526

Universal wide Aronszajn tree

Siiri Kivimäki
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Abstract

A wide Aronszajn tree is a tree of size $\aleph_1$ with no uncountable branches. Assuming the consistency of the existence of a weakly compact cardinal, we show the consistency of the existence of a wide Aronszajn tree that is \textit{universal} in the sense that it contains an isomorphic copy of every wide Aronszajn tree.

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Siiri Kivimäki. 2025-11-09. Universal wide Aronszajn tree. https://arxiv.org/abs/2511.06526

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