On the existence of cut points of connected generalized Sierpiński carpets

DOI10.54330/afm.127049OpenAlexW4320482302MaRDI QIDQ5883043

Huo-Jun Ruan, Jianci Xiao, Yang Wang

Publication date: 29 March 2023

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.07706

zbMATH Keywords

connectednesscut pointsgeneralized Sierpiński carpetsHata graphs

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fractals (28A80)

Cites Work

• Topological invariants and Lipschitz equivalence of fractal squares
• Topology of planar self-affine tiles with collinear digit set
• Topological structure of fractal squares
• Topological characterization of the Sierpiński curve
• On the structure of self-similar sets
• Fractal squares with finitely many connected components ^*
• FRACTAL NECKLACES WITH NO CUT POINTS
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