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arxiv: 1208.1877 · v2 · pith:QTBK2OZZnew · submitted 2012-08-09 · 🧮 math.CA

Non-existence of multi-line Besicovitch sets

classification 🧮 math.CA
keywords besicovitchcompactcontainsdirectionsfamilyline-segmentsmanymeasure
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If a compact set K \subset R^2 contains a positive-dimensional family of line-segments in positively many directions, then K has positive measure.

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