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Construction of
one-dimensional subsets of the reals not containing similar
copies of given patterns
Tamás Keleti |
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Vol. 1 (2008), No. 1, 29–33
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Abstract |
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For any countable collection of sets of three points we construct a compact subset of the real line with Hausdorff dimension that contains no similar copy of any of the given triplets. |
Keywords
Hausdorff dimension, avoiding patterns, Erdös similarity
problem, similar copy, affine copy
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Mathematical Subject Classification 2000
Primary: 28A78
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Milestones
Received: 25 January 2008
Revised: 30 April 2008
Accepted: 30 May 2008
Published: 2 October 2008
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Authors |
| Tamás Keleti | |
| Department of Analysis Eötvös Loránd University Pázmány Péter sétány 1/C H-1117 Budapest Hungary |
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| http://www.cs.elte.hu/analysis/keleti | |
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