A Cayley theorem for posets

Published 30 Jan 2026 in math.GM | (2602.00210v1)

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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