The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem
Classical Analysis and ODEs
2012-05-30 v1
Abstract
We give an essentially self-contained proof of Guth's recent endpoint multilinear Kakeya theorem which avoids the use of somewhat sophisticated algebraic topology, and which instead appeals to the Borsuk-Ulam theorem.
Keywords
Cite
@article{arxiv.1205.6371,
title = {The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem},
author = {Anthony Carbery and Stefan Ingi Valdimarsson},
journal= {arXiv preprint arXiv:1205.6371},
year = {2012}
}