3 papers
math.CO2026
Untranscendable order types
Garrett Ervin, Alberto Marcone, Thilo Weinert
We introduce and study a multiplicative analogue of additive indecomposability for linear order types that we call untranscendability, as well as a strengthening that we call -u…
math.LO2026
Big Ramsey degrees and the two-branching pseudotree
David Chodounský, David Chodounský, Natasha Dobrinen +1
We prove that each finite chain in the two-branching countable ultrahomogeneous pseudotree has finite big Ramsey degrees. This is in contrast to the recent result of Chodounský, Es…
math.CO2025
Colors of the Pseudotree
David Chodounský, Monroe Eskew, Thilo Weinert
We investigate big Ramsey degrees of finite substructures of the universal countable homogeneous meet-tree and its binary variant. We prove that structures containing antichains ha…