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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Maximum antichains: a sufficient condition
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by Michael J. Klass PDF
Proc. Amer. Math. Soc. 45 (1974), 28-30 Request permission

Abstract:

Given the finite partially ordered set $(Q, \leq )$, 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.
References
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 45 (1974), 28-30
  • MSC: Primary 06A10
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0342444-7
  • MathSciNet review: 0342444