antichain noun1 •A subset, A, of a partially ordered set, (P, ≤), such that no two elements of A are comparable with respect to ≤.First of all, Zorn's Lemma implies that every uncountable antichain in T is contained in a maximal uncountable antichain. So it suffices to make sure that T has no maximal uncountable antichains. — 1997 formsantichains
