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A Short Proof of Sperner’s Lemma

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Classic Papers in Combinatorics

Part of the book series: Modern Birkhäuser Classics ((MBC))

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Abstract

Let S denote a set of N objects. By a Sperner collection on S we mean a collection of subsets of S such that no one contain another. In [1], Sperner showed that no such collection could have more than N C [N/2] members.

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References

  1. E. Sperner, Ein Satz über Untermenger einer endlichen Menge, Math.Z. 27 (1928), 544–548.

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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC

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Lubell, D. (2009). A Short Proof of Sperner’s Lemma. In: Gessel, I., Rota, GC. (eds) Classic Papers in Combinatorics. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4842-8_28

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  • DOI: https://doi.org/10.1007/978-0-8176-4842-8_28

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-4841-1

  • Online ISBN: 978-0-8176-4842-8

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