The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem

Anthony Carbery; Stefan Ingi Valdimarsson

doi:10.1016/j.jfa.2013.01.012

The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem

Anthony Carbery, Stefan Ingi Valdimarsson

School of Mathematics

Research output: Contribution to journal › Article

Abstract / Description of output

We give an essentially self-contained proof of Guth’s recent end-
point multilinear Kakeya theorem which avoids the use of somewhat sophis-
ticated algebraic topology, and which instead appeals to the Borsuk–Ulam
theorem.

Original language	English
Pages (from-to)	1643-1663
Number of pages	21
Journal	Journal of functional analysis
Volume	264
Issue number	7
DOIs	https://doi.org/10.1016/j.jfa.2013.01.012
Publication status	Published - Apr 2013

Keywords / Materials (for Non-textual outputs)

Multilinear Kakeya
Borsuk–Ulam theorem
Kakeya conjecture

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10.1016/j.jfa.2013.01.012

The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theoremAccepted author manuscript, 702 KB

http://www.sciencedirect.com/science/article/pii/S0022123613000220

Cite this

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title = "The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem",

abstract = "We give an essentially self-contained proof of Guth{\textquoteright}s recent end-point multilinear Kakeya theorem which avoids the use of somewhat sophis-ticated algebraic topology, and which instead appeals to the Borsuk–Ulamtheorem.",

keywords = "Multilinear Kakeya, Borsuk–Ulam theorem, Kakeya conjecture",

author = "Anthony Carbery and Valdimarsson, {Stefan Ingi}",

year = "2013",

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AU - Valdimarsson, Stefan Ingi

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N2 - We give an essentially self-contained proof of Guth’s recent end-point multilinear Kakeya theorem which avoids the use of somewhat sophis-ticated algebraic topology, and which instead appeals to the Borsuk–Ulamtheorem.

AB - We give an essentially self-contained proof of Guth’s recent end-point multilinear Kakeya theorem which avoids the use of somewhat sophis-ticated algebraic topology, and which instead appeals to the Borsuk–Ulamtheorem.

KW - Multilinear Kakeya

KW - Borsuk–Ulam theorem

KW - Kakeya conjecture

U2 - 10.1016/j.jfa.2013.01.012

DO - 10.1016/j.jfa.2013.01.012

M3 - Article

SN - 0022-1236

VL - 264

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EP - 1663

JO - Journal of functional analysis

JF - Journal of functional analysis

IS - 7

ER -

The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem

Abstract / Description of output

Keywords / Materials (for Non-textual outputs)

Access to Document

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Cite this