3 papers
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…
math.LO2025
Oscillating subalgebras of the atomless countable Boolean algebra
Dana BartoÅ¡ová, Dana Bartošová, David Chodounský +10
We show that the big Ramsey degree of the Boolean algebra with 3 atoms within the countable atomless Boolean algebra is infinite.