A self-similar set with non-locally connected components

DOI10.4171/JFG/148MaRDI QIDQ6648709

Jianci Xiao

Publication date: 5 December 2024

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

zbMATH Keywords

connected componentsself-similar setslocally connected

Mathematics Subject Classification ID

Fractals (28A80) Connected and locally connected spaces (general aspects) (54D05)

Cites Work

• Title not available (Why is that?)
• Connectedness of a class of planar self-affine tiles
• Boundary local connectivity of tiles in \(\mathbb R^2\)
• Every component of a fractal square is a Peano continuum
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• Topological structure of fractal squares
• Lipschitz equivalence of graph-directed fractals
• On the structure of self-similar sets
• Fractal squares with finitely many connected components ^*
• A TECHNIQUE IN THE TOPOLOGY OF CONNECTED SELF-SIMILAR TILES
• TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
• A criterion for self-similar sets to be totally disconnected
• On self-affine tiles that are homeomorphic to a ball
• Connectedness and local cut points of generalized Sierpiński carpets

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