Universal wide Aronszajn tree
Logic
2025-11-11 v1
Abstract
A wide Aronszajn tree is a tree of size 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.
Cite
@article{arxiv.2511.06526,
title = {Universal wide Aronszajn tree},
author = {Siiri Kivimäki},
journal= {arXiv preprint arXiv:2511.06526},
year = {2025}
}