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Results tagged with hausdorff-measure
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user 133880
Questions about Hausdorff measures, their variants (such as spherical Hausdorff measures) and generalisations.
2
votes
0
answers
18
views
Elementary proof of corollary of Besicovitch projection theorem
I am interested in the following fact.
Fact. Suppose
$\mathcal H^1(E) < \infty$.
$|\pi_\theta(E)| = 0$ for a.e. $\theta \in [0,\pi]$.
$\Psi : \mathbb{R}^2 \to \mathbb{R}^2$ is a $C^1$ map with nonva …
- 613
8
votes
Sets that project to zero measure on all lines except one
This can be done with an iterated Venetian blind construction.
The idea is you start with a horizontal line segment, replace it with many small rotated parallel line segments, and repeat. In each step …
- 613