Oscillating subalgebras of the atomless countable Boolean algebra

Dana Bartošová; David Chodounský; Barbara Csima; Jan Hubička; Matěj Konečný; Joey Lakerdas-Gayle; Spencer Unger; Andy Zucker

Oscillating subalgebras of the atomless countable Boolean algebra

Logic 2025-05-29 v1 Discrete Mathematics Combinatorics

Authors: Dana Bartošová , David Chodounský , Barbara Csima , Jan Hubička , Matěj Konečný , Joey Lakerdas-Gayle , Spencer Unger , Andy Zucker

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Abstract

We show that the big Ramsey degree of the Boolean algebra with 3 atoms within the countable atomless Boolean algebra is infinite.

Cite

@article{arxiv.2505.22603,
  title  = {Oscillating subalgebras of the atomless countable Boolean algebra},
  author = {Dana Bartošová and David Chodounský and Barbara Csima and Jan Hubička and Matěj Konečný and Joey Lakerdas-Gayle and Spencer Unger and Andy Zucker},
  journal= {arXiv preprint arXiv:2505.22603},
  year   = {2025}
}