9. Hausdorff's m-dimensional measurement
The (outer) m-dimensional Hausdorff measure is a generalization of the Lebesgue measure that is useful for measuring subsets of 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 the notions of enumeration, length, area and volume into ordinary dimensions.
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Hausdorff's m-dimensional measurement
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