Category and dimensions for cut-out sets

DOI10.1016/J.JMAA.2009.04.057zbMath1177.28027OpenAlexW2023993475MaRDI QIDQ1029135

J. Blot

Publication date: 9 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.057

zbMATH Keywords

Baire categorycut-out setmodified box dimension

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (7)

Gap sequences and Topological properties of Bedford–McMullen sets* ⋮ Average Hewitt-Stromberg and box dimensions of typical compact metric spaces ⋮ GAP SEQUENCES OF GRAPH-DIRECTED SETS ⋮ A note on the interior and dimensions of typical sumsets ⋮ Gap sequences of McMullen sets ⋮ Assouad dimensions and spectra of Moran cut-out sets ⋮ Gap sequences of self-conformal sets

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• On the Hausdorff \(h\)-measure of Cantor sets
• Hausdorff measure of \(p\)-Cantor sets
• Hausdorff Dimension in Graph Directed Constructions
• On the Minkowski Measurability of Fractals
• Dimension functions of Cantor sets
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure

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