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\(\Gamma\) convergence of Hausdorff measures
2005Starting from the Golab Theorem, which states that in a metric space \((Q,d)\) the Hausdorff measure \({\mathcal H}^1_d\), when restricted to the class of the compact connected subsets of \(Q\), is lower semicontinuous for the Hausdorff distance between sets, it is shown that actually a more general result holds for the \(\Gamma\)-convergence of ...
BUTTAZZO, GIUSEPPE, B. SCHWEIZER
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The Hausdorff measure of non hyperconvexity
1999A metric space \(X\) is said to be hyperconvex if for every metric space \(Y\) every nonexpansive map from a subset \(S\subseteq Y\) to \(X\) can be extended to a nonexpansive map from \(Y\) to \(X\). A function \(f\in C(X)\) on a metric space \((X,d)\) is called a metric form if for all \(x,y\in X\), \(f(x)+ f(y)\geq d(x,y)\).
CIANCIARUSO, Filomena, DE PASCALE
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Between shapes, using the Hausdorff distance
Computational Geometry: Theory and Applications, 2022Jordi Vermeulen +2 more
exaly
Hausdorff Dimensions and Measures
2002Hausdorff measures can be thought of as extensions of Lebesgue’s measure. While a rather abstract treatment is possible, we restrict our attention to such measures on Euclidean spaces.
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The Relations of Hausdorff, *-Hausdorff, and Packing Measures
Real Analysis Exchange, 1990null Lee, null Baek
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Hausdorff Measure and Local Measure, II
Journal of the London Mathematical Society, 1984Johnson, Roy A., Rogers, C. A.
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