A Rigid Kurepa Tree From a Free Suslin Tree
Logic
2025-09-17 v2
Abstract
We analyze a countable support product of a free Suslin tree which turns it into a highly rigid Kurepa tree with no Aronszajn subtree. In the process, we introduce a new rigidity property for trees, which says roughly speaking that any non-trivial strictly increasing function from a section of the tree into itself maps into a cofinal branch.
Cite
@article{arxiv.2303.05633,
title = {A Rigid Kurepa Tree From a Free Suslin Tree},
author = {John Krueger},
journal= {arXiv preprint arXiv:2303.05633},
year = {2025}
}
Comments
To appear in the Journal of Symbolic Logic