Article ID Journal Published Year Pages File Type
1709960 Applied Mathematics Letters 2010 5 Pages PDF
Abstract

This paper is concerned with the question whether each self-similar set on R1R1 with positive Lebesgue measure contains an interval. We show that it is true for two instances: One is the self-similar set with respect to two similitudes; the other is the uniformly discrete self-similar set with respect to finite similitudes.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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