Maximum antichains: a sufficient condition

Michael J. Klass · Proceedings of the American Mathematical Society · 1974

Given the finite partially ordered set ( Q , ≤ ) (Q, \leq ) , one might wish to know whether a maximal (nonextendible) antichain is a maximum antichain. Our result generalizes a theorem of Baker, which in turn constitutes a generalization of Sperner’s lemma.

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