The endpoint multilinear Kakeya theorem via the Borsuk-Ulam theorem

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• 作者：Anthony Carbery^a ; ^{A.Carbery@ed.ac.uk} ; Stefá ; n Ingi Valdimarsson^b ; ^siv@hi.is
• 关键词：Multilinear Kakeya ; Borsuk&ndash ; Ulam theorem ; Kakeya conjecture
• 刊名：Journal of Functional Analysis
• 出版年：2013
• 出版时间：1 April, 2013
• 年：2013
• 卷：264
• 期：7
• 页码：1643-1663
• 全文大小：223 K

文摘

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.