A Cayley theorem for posets
Abstract
We show that every poset P=(P,\le) satisfying the Ascending Chain Condition can be isomorphically embedded into the poset of all mappings from P to the set A(P) of all antichains of P equipped with a certain partial order relation. This isomorphism is presented explicitly.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Advanced Algebra and Logic
Advanced Topology and Set Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 30 January 2026
- Document type
- Preprint