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Results tagged with hausdorff-dimension
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user 39521
Questions about dimensions of possibly highly irregular or "rough" sets, Hausdorff–Besicovitch dimension and related concepts such as box-counting or Minkowski–Bouligand dimension.
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Hausdorff dimension of a Cantor-like set
We can find Cantor-like sets of Hausdorff dimension arbitrarily close to $1$ which satisfy your property.
Lemma: If a subset $S \subseteq \{1, 2, \dots, n\}$ of cardinality $|S| = m$ has no length-$3 …
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