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

Published 13 Jan 2026 in math.CO and math.LO | (2601.08542v1)

Abstract: 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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