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

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.

References in corpus (4)

• On $L^p$-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds
• On the Schrodinger maximal function in higher dimension
• The Brouwer fixed point theorem and the Borsuk--Ulam theorem
• Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces