The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem
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theoremendpointkakeyamultilinearalgebraicappealsavoidsborsuk--ulam
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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.
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