@article{806c54290b784bf3be510bd2d4bbdfe8,
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 = "Funding Information: Z. Jiang was supported in part by ISF Grant Nos. 1162/15, 936/16. A. Polyanskii was supported in part by ISF Grant No. 409/16, and by the Russian Foundation for Basic Research through Grant Nos. 15-01-99563 A, 15-01-03530 A. The work was done when A. Polyanskii was a postdoctoral fellow at the Technion. Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG, part of Springer Nature.",
year = "2017",
month = dec,
day = "1",
doi = "10.1007/s00039-017-0427-6",
language = "English (US)",
volume = "27",
pages = "1367--1377",
journal = "Geometric and Functional Analysis",
issn = "1016-443X",
publisher = "Birkhauser Verlag Basel",
number = "6",
}