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arXiv · 2505.22603

Oscillating subalgebras of the atomless countable Boolean algebra

Dana Bartošová·David Chodounský·Barbara Csima·Jan Hubička·Matěj Konečný·Joey Lakerdas-Gayle·Stevo Todorcevic·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.

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Dana Bartošová, David Chodounský, Barbara Csima, Jan Hubička, Matěj Konečný, Joey Lakerdas-Gayle, Stevo Todorcevic, Spencer Unger, Andy Zucker. 2025-05-28. Oscillating subalgebras of the atomless countable Boolean algebra. https://arxiv.org/abs/2505.22603

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