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arXiv · 2602.00210

A Cayley theorem for posets

Ivan Chajda·Helmut Länger
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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.

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Ivan Chajda, Helmut Länger. 2026-01-30. A Cayley theorem for posets. https://arxiv.org/abs/2602.00210

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