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A Rigid Kurepa Tree From a Free Suslin Tree (2303.05633v2)
Published 10 Mar 2023 in math.LO
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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