Using volume to prove Sperner's Lemma

Andrew McLennan; Rabee Tourky

doi:10.1007/s00199-007-0257-0

Using volume to prove Sperner's Lemma

Andrew McLennan, Rabee Tourky^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We provide a novel proof of Sperner's Lemma that is intuitive and elementary if certain simple properties of Lebesgue measure are known.

Original language	English
Pages (from-to)	593-597
Number of pages	5
Journal	Economic Theory
Volume	35
Issue number	3
DOIs	https://doi.org/10.1007/s00199-007-0257-0
Publication status	Published - Jun 2008
Externally published	Yes

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title = "Using volume to prove Sperner's Lemma",

abstract = "We provide a novel proof of Sperner's Lemma that is intuitive and elementary if certain simple properties of Lebesgue measure are known.",

keywords = "Brouwer's fixed point theorem, Lebesgue measure, Sperner's Lemma",

author = "Andrew McLennan and Rabee Tourky",

year = "2008",

month = jun,

doi = "10.1007/s00199-007-0257-0",

language = "English",

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pages = "593--597",

journal = "Economic Theory",

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AU - Tourky, Rabee

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KW - Lebesgue measure

KW - Sperner's Lemma

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DO - 10.1007/s00199-007-0257-0

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SN - 0938-2259

VL - 35

SP - 593

EP - 597

JO - Economic Theory

JF - Economic Theory

IS - 3

ER -

Using volume to prove Sperner's Lemma

Abstract

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