Note on the Splitting Property in Strongly Dense Posets of Size $\aleph_0$
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.
Fields of Study & Subjects
Advanced Topology and Set Theory
Advanced Combinatorial Mathematics
Limits and Structures in Graph Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 13 January 2026
- Document type
- Preprint