List questions from hausdorff-measure | MathQa

How prove that $m_\alpha ^*(\mathcal C)\geq 1$ where $\mathcal C$ is the Cantor set, and $m_\alpha $ the Hausdorff measure.

Published on 08 Apr 2025 - 1:13

Compute Hausdorff dimension of cantor set.

Published on 31 Mar 2025 - 16:38

What are the sufficient conditions for a function to take a Hausdorff space to another Hausdorff space.

Published on 07 Apr 2025 - 21:53

About the Moment of Inertia of the Cantor Set

Published on 07 Apr 2025 - 1:03

Show that for all $\varepsilon>0$ there is a compact $K\subset E$ s.t. $m_\alpha (E\backslash K)<\varepsilon$.

Published on 08 Apr 2025 - 7:25

Exact value of Hausdorff measure of middle-third Cantor set

Published on 08 Apr 2025 - 7:50

Prove that that a map in $C^N$ in the metric topology is continuous to the Zariski topology, but that the map is not a homeomorphism.

Published on 06 Apr 2025 - 16:10

When the self-similar dimension and the Hausdorff dimension are different?

Published on 08 Apr 2025 - 12:11

Does there exist a curve with non zero area?

Published on 07 Apr 2025 - 17:02

Hausdorff distance on power sets

Published on 08 Apr 2025 - 13:21