Proof of László Fejes Tóth’s zone conjecture

Zilin Jiang; Alexandr Polyanskii

doi:10.1007/s00039-017-0427-6

Proof of László Fejes Tóth’s zone conjecture

Zilin Jiang, Alexandr Polyanskii

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

10 Scopus citations

Abstract

A zone of width ω on the unit sphere is the set of points within spherical distance ω/2 of a given great circle. We show that the total width of any collection of zones covering the unit sphere is at least π, answering a question of Fejes Tóth from 1973.

Original language	English (US)
Pages (from-to)	1367-1377
Number of pages	11
Journal	Geometric and Functional Analysis
Volume	27
Issue number	6
DOIs	https://doi.org/10.1007/s00039-017-0427-6
State	Published - Dec 1 2017
Externally published	Yes

ASJC Scopus subject areas

Analysis
Geometry and Topology

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title = "Proof of L{\'a}szl{\'o} Fejes T{\'o}th{\textquoteright}s zone conjecture",

abstract = "A zone of width ω on the unit sphere is the set of points within spherical distance ω/2 of a given great circle. We show that the total width of any collection of zones covering the unit sphere is at least π, answering a question of Fejes T{\'o}th from 1973.",

author = "Zilin Jiang and Alexandr Polyanskii",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG, part of Springer Nature.",

year = "2017",

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doi = "10.1007/s00039-017-0427-6",

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Proof of László Fejes Tóth’s zone conjecture

Abstract

ASJC Scopus subject areas

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