9. Hausdorff's m-dimensional measurement

The (outer) m-dimensional Hausdorff measure $(0 \leq m \leq n)$ is a generalization of the Lebesgue measure that is useful for measuring subsets of $ℝ^{n}$ of dimensions less than n, such as topological varieties, e.g. curves and surfaces, or fractal subsets. .

Hausdorff's concept of m-dimensional measurement generalizes...

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Hausdorff's m-dimensional measurement

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Bibliography

(1) - ALBERTI (G.) - Geometric measure theory. - Encyclopedia of Mathematical Physics, Vol. 2, pp. 520-527 (J.-P. Françoise et al, eds), Elsevier (2006).
(2) - AMBROSIO (L.), CAPASSO (V.), VILLA (E.) - On the approximation of mean densities of random closed...

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