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A Borsuk–Ulam Equivalent that Directly Implies Sperner’s Lemma

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Publication:2846999
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DOI10.4169/amer.math.monthly.120.04.346zbMath1280.55001DBLPjournals/tamm/NymanS13OpenAlexW2296719558WikidataQ55878429 ScholiaQ55878429MaRDI QIDQ2846999

Francis Edward Su, Kathryn L. Nyman

Publication date: 4 September 2013

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.120.04.346


zbMATH Keywords

Borsuk-Ulam theoremSperner's lemmaBrouwer fixed point theoremTucker's lemma


Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Combinatorial aspects of simplicial complexes (05E45)


Related Items (4)

Towards a noncommutative Brouwer fixed-point theorem ⋮ Multilabeled Versions of Sperner's and Fan's Lemmas and Applications ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg ⋮ The intermediate value theorem and decision-making in psychology and economics: an expositional consolidation







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