List questions from hausdorff-measure

Published on 10 Apr 2026 - 6:38

140

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Real analysis - property of Hausdorff dimension

Published on 15 Apr 2026 - 15:29

388

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How to prove that the unit sphere $\Bbb S^1$ has Hausdorff dimension $1$?

Published on 25 Mar 2026 - 19:11

2.4k

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How would you calculate the Fractal Dimension of this asymmetric Cantor Set?

Published on 12 Apr 2026 - 19:07

72

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Example with ${\rm vol}\ D>\lim_i\ {\rm vol}\ D_i$

Published on 11 May 2026 - 1:41

41

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How are these sums called?

Published on 11 Apr 2026 - 3:25

329

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Is the convergence in Hausdorff distance closed under union and intersection?

Published on 12 Apr 2026 - 18:57

140

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Inverse image (under convex-hull operator) of an open set of convex subsets is open?

Published on 15 Apr 2026 - 8:32

202

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Is convex-hull operation an open mapping?

Published on 09 Apr 2026 - 15:03

40

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Why is this true that $\left(d(Q)\right)^n=\left(\sqrt{n}\right)^n\mathcal{L}_n(Q)$ for any cube $Q$ in $\mathbb{R}^n$?

Published on 16 Apr 2026 - 17:43

1k

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Is the zero set of Brownian motion homeomorphic to Cantor space?

Published on 11 Apr 2026 - 1:25

587

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Questions about Hausdorff measure and general metric outer measures.

Published on 11 Apr 2026 - 3:56

131

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Is this 'one of' the smallest open sets that contains the original set?

Published on 13 Apr 2026 - 19:22

188

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Proof clarification of hausdorff measure equals lebesgue measure in one dimension

Published on 25 Mar 2026 - 19:11

135

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Sufficient condition for a set to be a Reduced Boundary

Published on 25 Mar 2026 - 19:16

List Question

Invers limit function.

Real analysis - property of Hausdorff dimension

How to prove that the unit sphere $\Bbb S^1$ has Hausdorff dimension $1$?

How would you calculate the Fractal Dimension of this asymmetric Cantor Set?

Example with ${\rm vol}\ D>\lim_i\ {\rm vol}\ D_i$

How are these sums called?

Is the convergence in Hausdorff distance closed under union and intersection?

Inverse image (under convex-hull operator) of an open set of convex subsets is open?

Is convex-hull operation an open mapping?

Why is this true that $\left(d(Q)\right)^n=\left(\sqrt{n}\right)^n\mathcal{L}_n(Q)$ for any cube $Q$ in $\mathbb{R}^n$?

Is the zero set of Brownian motion homeomorphic to Cantor space?

Questions about Hausdorff measure and general metric outer measures.

Is this 'one of' the smallest open sets that contains the original set?

Proof clarification of hausdorff measure equals lebesgue measure in one dimension

Sufficient condition for a set to be a Reduced Boundary

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