A class of self-affine tiles in \(\mathbb{R}^3\) that are tame balls revisited

DOI10.1016/j.jfa.2024.110316OpenAlexW4390806510MaRDI QIDQ6119944

Chuntai Liu

Publication date: 20 February 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2024.110316

zbMATH Keywords

homeomorphismself-affine tileBrouwer's invariance of domain theorem

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Fractals (28A80) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The connectedness of some two-dimensional self-affine sets
• Connectedness of a class of planar self-affine tiles
• Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
• On the connectedness of planar self-affine sets
• Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices
• Self-affine manifolds
• On the connectedness of self-affine attractors
• Self-affine tiles in \(\mathbb{R}^n\)
• A class of self-affine tiles in \(\mathbb{R}^d\) that are \(d\)-dimensional tame balls
• The topological structure of fractal tilings generated by quadratic number systems
• A survey on topological properties of tiles related to number systems
• A GLUING LEMMA FOR ITERATED FUNCTION SYSTEMS
• On the structure of self-similar sets
• Topological properties of a class of self-affine tiles in $\mathbb {R}^3$
• Self‐affine Lattice Reptiles with Two Pieces in IRⁿ
• Integral Self-Affine Tiles in ℝ ⁿ I. Standard and Nonstandard Digit Sets
• On self-affine tiles whose boundary is a sphere
• CONNECTEDNESS OF SELF-AFFINE SETS WITH PRODUCT DIGIT SETS
• Topological Properties of a Class of Higher-dimensional Self-affine Tiles
• TOPOLOGICAL STRUCTURE OF SELF-SIMILAR SETS
• Topological properties of two-dimensional number systems
• Disk-like self-affine tiles in \(\mathbb{R}^2\)

This page was built for publication: A class of self-affine tiles in \(\mathbb{R}^3\) that are tame balls revisited