Mathematics > Logic
arXiv:2505.22603 (math)
[Submitted on 28 May 2025 (v1), last revised 10 Aug 2026 (this version, v2)]
Abstract:We show that the big Ramsey degree of the Boolean algebra with 3 atoms within the countable atomless Boolean algebra is infinite.
| Comments: | 10 pages. Revised version adding alternative proof using topological copies of rationals |
| Subjects: | Logic (math.LO); Discrete Mathematics (cs.DM); Combinatorics (math.CO) |
| MSC classes: | 05C55, 06E05, 03E02, 05D10 |
| ACM classes: | G.2.1 |
| Cite as: | arXiv:2505.22603 [math.LO] |
| (or arXiv:2505.22603v2 [math.LO] for this version) | |
| https://doi.org/10.48550/arXiv.2505.22603 arXiv-issued DOI via DataCite |
Submission history
From: Jan Hubička [view email]
[v1]
Wed, 28 May 2025 17:17:39 UTC (54 KB)
[v2]
Mon, 10 Aug 2026 16:19:34 UTC (53 KB)
Current browse context:
math.LO
Bookmark
Bibliographic Tools
Bibliographic and Citation Tools
Bibliographic Explorer Toggle
Code, Data, Media
Code, Data and Media Associated with this Article
Demos
Demos
Related Papers
Recommenders and Search Tools
About arXivLabs
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.