Kakeya-type sets in local fields with finite residue field (Q2810743)
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scientific article; zbMATH DE number 6589380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kakeya-type sets in local fields with finite residue field |
scientific article; zbMATH DE number 6589380 |
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6 June 2016
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Kakeya set
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local field
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discrete valuation ring
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Kakeya-type sets in local fields with finite residue field (English)
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A subset of a Euclidean space is called a Kakeya set if it contains a line segment of unit length in every direction. Besicovitch proved the existence of Kakeya sets with Lebesgue measure zero. The author constructs analogous sets in a finite-dimensional spsce over a local field with finite residue field and over discrete valuation rings.
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