John Krueger

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20242026

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math.LO2024

Some Results on Finitely Splitting Subtrees of Aronszajn Trees

John Krueger

For any $2 \leq n < ω$ , we introduce a forcing poset using generalized promises which adds a normal $n$ -splitting subtree to a $(\geq n)$ -splitting normal Aronszajn tree. Using th…

math.LO2024

An almost Kurepa Suslin tree with strongly non-saturated square

John Krueger, Eduardo Martinez Mendoza

For uncountable downwards closed subtrees $U$ and $W$ of an $ω_{1}$ -tree $T$ , we say that $U$ and $W$ are strongly almost disjoint if their intersection is a finite union of countabl…