Topological and measure properties of some self-similar sets

DOI10.12775/TMNA.2015.075zbMath1362.28009arXiv1403.0098MaRDI QIDQ519351

Artur Bartoszewicz, Małgorzata Filipczak, Emilia Szymonik, Taras Banakh

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0098

zbMATH Keywords

self-similar setmultigeometric sequenceCantorval

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Fractals (28A80) Special sequences (11K31)

Related Items (18)

The Lebesgue measure of some M-Cantorval ⋮ Achievement sets of conditionally convergent series ⋮ Center of distances and central Cantor sets ⋮ Recovering a purely atomic finite measure from its range ⋮ Remarks on sets with small differences and large sums ⋮ Semi-fast convergent sequences and \(k\)-sums of central Cantor sets ⋮ Subsums of conditionally convergent series in finite dimensional spaces ⋮ Levy-Steinitz theorem and achievement sets of conditionally convergent series on the real plane ⋮ Achievement sets of reciprocals of complete sequences ⋮ Conditions for the difference set of a central Cantor set to be a Cantorval ⋮ Cardinal functions of purely atomic measures ⋮ Achievement sets on the plane -- perturbations of geometric and multigeometric series ⋮ On generating regular Cantorvals connected with geometric Cantor sets ⋮ On the center of distances ⋮ On Kakeya conditions for achievement sets ⋮ Steinhaus-type property for the boundary of a convex body ⋮ Set of uniqueness for Cantorvals ⋮ A family of Cantorvals

This page was built for publication: Topological and measure properties of some self-similar sets