Note on the Splitting Property in Strongly Dense Posets of Size $\aleph_0$

preprint2026arXivOpen access

We show that it is not true that every countable infinite strongly dense poset has the splitting property, so answering a question of R. Ahlswede, P.L. Erdös and N. Graham.

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Note on the Splitting Property in Strongly Dense Posets of Size $\aleph_0$

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Note on the Splitting Property in Strongly Dense Posets of Size ℵ0\aleph_0ℵ0​

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Note on the Splitting Property in Strongly Dense Posets of Size $\aleph_0$