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arXiv · 2303.05633

A Rigid Kurepa Tree From a Free Suslin Tree

John Krueger
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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.

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John Krueger. 2023-03-10. A Rigid Kurepa Tree From a Free Suslin Tree. https://doi.org/10.1017/jsl.2025.4

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