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The boundary of a smooth set has full Hausdorff dimension |
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| Authors: | Themis Mitsis |
| Affiliation: | Department of Mathematics, University of Crete, Knossos Ave., 71409 Iraklio, Greece |
| Abstract: | We prove that if the restriction of the Lebesgue measure to a set A⊂[0,1] with 0<|A|<1 is a smooth measure, then the boundary of A must have full Hausdorff dimension. |
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