Konrad Zdanowski

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math.LO2026

The strength of Ramsey's theorem for $α$ -large sets

Lorenzo Carlucci, Andrea Volpi, Konrad Zdanowski

We calibrate the reverse mathematical strength of a family of extensions of Ramsey's theorem to finite colorings of certain subsets of the natural numbers of unbounded finite dimen…

math.LO2024

Reductions of well-ordering principles to combinatorial theorems

Lorenzo Carlucci, Leonardo Mainardi, Konrad Zdanowski

A well-ordering principle is a principle of the form: If $X$ is well-ordered then $F (X)$ is well-ordered, where $F$ is some natural operator transforming linear orders into linear…

The strength of Ramsey's theorem for α-large sets

Reductions of well-ordering principles to combinatorial theorems

The strength of Ramsey's theorem for $α$ -large sets