Degree reduction and graininess for Kakeya-type sets in R[superscript 3]

Let T be a set of cylindrical tubes in ℝ[superscrpit 3] of length N and radius 1. If the union of the tubes has volume N[superscript 3-σ], and each point in the union lies in tubes pointing in three quantitatively different directions, and if a technical assumption holds, then at scale N[superscript...

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Bibliographic Details
Main Author: Guth, Lawrence
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: European Mathematical Publishing House 2018
Online Access:http://hdl.handle.net/1721.1/115569
https://orcid.org/0000-0002-1302-8657

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