Abstract
Thomson noted that (in the line) the Hausdorff measures can be considered to be fine variations for appropriate choices of derivation basis and set function. We show that this point of view remains interesting in a general separable metric space. Use of the “centered ball” basis yields an alternate description of the covering measures of Saint Raymond and Tricot. Use of a “closed set” basis yields the Ha usdorff measures. This paper may be considered a counterpart of [7], where the corresponding study of the packing measure may be found.
Citation
G. A. Edgar. "FINE VARIATION AND FRACTAL MEASURES." Real Anal. Exchange 20 (1) 256 - 280, 1994/1995. https://doi.org/10.2307/44152487
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