A homeomorphism invariant for substitution tiling spaces

DOI10.1023/A:1014942402919zbMath0997.37006arXivmath/0008171OpenAlexW2951233376MaRDI QIDQ1597485

Charles Radin, Nicholas S. Ormes, Lorenzo Sadun

Publication date: 30 May 2002

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008171

zbMATH Keywords

topological invariantsaperiodic tiling

Mathematics Subject Classification ID

Related Items (16)

Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions ⋮ COHOMOLOGY OF THE PINWHEEL TILING ⋮ Pattern-equivariant homology ⋮ Tiling spaces are inverse limits ⋮ \(K\)-theory of two-dimensional substitution tiling spaces from \textit{AF}-algebras ⋮ PV cohomology of the pinwheel tilings, their integer group of coinvariants and gap-labeling ⋮ Randomness and topological invariants in pentagonal tiling spaces ⋮ Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1--7, 2017 ⋮ The homology core of matchbox manifolds and invariant measures ⋮ \(K\)-theory of crossed products of tiling \(C^*\)-algebras by rotation groups ⋮ Pattern-equivariant cohomology with integer coefficients ⋮ Cohomology of substitution tiling spaces ⋮ Substitution tilings with statistical circular symmetry ⋮ Fusion: a general framework for hierarchical tilings of \(\mathbb{R }^d\) ⋮ Conjugacies for tiling dynamical systems ⋮ Simple dimension groups that are isomorphic to stationary inductive limits

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