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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…