2006•Journal of Anhui University of TechnologyRequires access

Hausdorff Measure and Upper Convex Density of a Class Self-similar Sets in R~3

Li Ling

Abstract

In R3,deals with the exact computation of Hausdorff measure of a class of self-similar sets which is a sierpinski block generated by cube with edge 1.Under the conditions of strong separated and dimension smaller than 1,it is show that the natural covering is the best one,as its inference,Hausdorff measure of this sets is obtained.

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Key concepts: Hausdorff measure, Mathematics, Hausdorff dimension, Measure (data warehouse), Urysohn and completely Hausdorff spaces, Combinatorics, Outer measure, Effective dimension