On cut sets of attractors of iterated function systems

DOI10.1090/proc/13182zbMath1355.28017arXiv1412.1975OpenAlexW2271249198MaRDI QIDQ2817011

Tarek Sellami, Jun Luo, Benoît Loridant, Jörg M. Thuswaldner

Publication date: 26 August 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1975

zbMATH Keywords

attractorcut setself-affine tileHata graphirreducible cut set

Mathematics Subject Classification ID

Fractals (28A80) Connected and locally connected spaces (general aspects) (54D05) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (1)

Topology of planar self-affine tiles with collinear digit set

Cites Work

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• On the fundamental group of the Sierpiński-gasket
• Topology of connected self-similar tiles in the plane with disconnected interiors
• Self-affine tiles in \(\mathbb{R}^n\)
• A survey on topological properties of tiles related to number systems
• Fundamental groups of one-dimensional spaces
• On the structure of self-similar sets
• Classification of Self-Affine Lattice Tilings
• On the Connectedness of Self-Affine Tiles
• Topology and separation of self-similar fractals in the plane
• A TECHNIQUE IN THE TOPOLOGY OF CONNECTED SELF-SIMILAR TILES
• TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
• Topological properties of two-dimensional number systems
• Disk-like self-affine tiles in \(\mathbb{R}^2\)

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