Author:
Barlow Martin T.,Taylor S. James
Abstract
The Hausdorff–Besicovitch dimension of a set A ⊆ ℝd, denoted dim (A), relates to the structure of A in the neighbourhood of its thickest point. If A is irregular then one may wish for an index which will describe the size of A in different places. The obvious definition of the local dimension of A near x isand it is not hard to verify that
Publisher
Cambridge University Press (CUP)
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1. Samuel James Taylor, 1929–2020;Bulletin of the London Mathematical Society;2021-09-17