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Endollared the LaTeX.

edited Nov 15, 2011 at 17:54

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Question on geometric measure theory

I want to know the following is well-known or not:

Let X be a metric space with Hausdorff dimension $\alpha$. Then for any $\beta < \alpha$, X contains a closed subset whose Hausdorff dimension is $\beta$.

geometric-measure-theory

asked Nov 15, 2011 at 14:39

Ema