3 papers
math.LO2025
Oscillating subalgebras of the atomless countable Boolean algebra
Dana Bartošová, David Chodounský, Barbara Csima +6
We show that the big Ramsey degree of the Boolean algebra with 3 atoms within the countable atomless Boolean algebra is infinite.
math.LO2025
Big Ramsey degrees and the two-branching pseudotree
David Chodounský, Natasha Dobrinen, Thilo Weinert
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…