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Sets of finite H-1 measure that intersect positively many lines in infinitely many points
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Csornyei, Marianna and Preiss, David (2007) Sets of finite H-1 measure that intersect positively many lines in infinitely many points. Annales Academiæ Scientiarum Fennicæ, Volume 32 (Number 2). pp. 545-548. ISSN 1239-629X.
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Official URL: http://www.acadsci.fi/mathematica/Vol32/CsornyeiPr...
Abstract
We construct a planar Borel set A of finite H-1-measure such that through positively many points of A, positively many lines meet A at infinitely many points. This answers a question of Mattila.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annales Academiæ Scientiarum Fennicæ | ||||
Publisher: | Suomalainen Tiedeakatemia, Academia Scientiarum Fennica | ||||
ISSN: | 1239-629X | ||||
Official Date: | 2007 | ||||
Dates: |
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Volume: | Volume 32 | ||||
Number: | Number 2 | ||||
Number of Pages: | 4 | ||||
Page Range: | pp. 545-548 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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