9. Dimension in Euclidean space...
Above: Dimension in Euclidean space
9.1 Hausdorff and Besicovitch dimensions
Following a construction by C. Carathéodory (1914), F. Hausdorff proposed (1919) a generalization of the notion of dimension taking non-integer values, which was then extensively studied by A. Besicovitch between 1929 and 1937.
Definition (dimension of Hausdorff, 1919, and Besicovitch, 1929, 1934, 1935). The Hausdorff and Besicovitch dimension of a non-zero subset X of ...
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Dimension in Euclidean space...
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