Jonathan Schilhan

activity

20192026

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math.LO2026

Hagendorf Orders

Jonathan Schilhan, Thilo Weinert

Call a linear order type $φ$ Hagendorf if it shares two properties with additively indecomposable ordinal numbers without being one itself: $φ$ is strictly indecomposable to the ri…

math.LO2026

Infinite-Exponent Partition Relations on Higher Analogues of the Real Line

Lyra A. Gardiner, Jonathan Schilhan, Thilo Weinert

We present a number of results concerning infinite-exponent partition relations on linear orders of the form $⟨^{α} 2, <_{lex} ⟩$ for $α$ an ordinal, generalising…