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math.LO2026
Hagendorf Orders
Jonathan Schilhan, Thilo Weinert
Call a linear order type Hagendorf if it shares two properties with additively indecomposable ordinal numbers without being one itself: 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 for an ordinal, generalising…