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Results tagged with mg.metric-geometry
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user 91442
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
3
votes
0
answers
195
views
Hausdorff measure of the unit ball of a norm on $\mathbb{R}^n$ is a universal constant
In [1], Kirchheim proved the area formula for Lipschitz maps $f\colon \mathbb{R}^n\to X$ where $X$ is an arbitrary metric space, using the notion of metric differentiability. The metric derivative of …
- 622
12
votes
Accepted
Unknown work of Nöbeling on topological/Hausdorff dimension
So, the sought for paper is:
Nöbeling, G., Hausdorffsche und mengentheoretische Dimension, Ergebnisse math. Kolloquium Wien 3, 24-25 (1931).
And here is a ``translation" (to English and to modern ma …
- 622
5
votes
Generalization of area and coarea formula for fractional Hausdorff measures
There are several intersting consequences of this abstract viewpoint about these formulas. I also would have liked to discuss why the coarea inequality is the backbone of the coarea formula, but let m …
- 622