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The dimension print of most convex surfaces

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Abstract

The dimension print is a concept which contains more detailed information than the usual Hausdorff dimension. So, for example, a sphere and the surface of a cube have same dimension but different dimension prints. Can anything be said about the dimension print of most convex surfaces (in the Baire category sense)?

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This paper was written while the first author was visiting the University of Dortmund, with financial support from the Land of North-Rhine Westfalia.

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Crăciun, G., Zamfirescu, T. The dimension print of most convex surfaces. Monatshefte für Mathematik 123, 203–207 (1997). https://doi.org/10.1007/BF01318232

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