COHOMOLOGY OF THE PINWHEEL TILING

DOI10.1017/S1446788714000275zbMath1350.37020arXiv1212.4401OpenAlexW3103505192MaRDI QIDQ2925687

Benjamin Whitehead, Dirk Frettlöh, Michael F. Whittaker

Publication date: 17 October 2014

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

Full work available at URL: https://arxiv.org/abs/1212.4401

zbMATH Keywords

Čech cohomologypinwheel tilingaperiodic substitution tiling

Mathematics Subject Classification ID

?ech types (55N05)

Related Items

Substitution tilings with dense tile orientations and \(n\)-fold rotational symmetry ⋮ \(K\)-theory of crossed products of tiling \(C^*\)-algebras by rotation groups ⋮ Aperiodicity, rotational tiling spaces and topological space groups

Cites Work

• A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns
• The pinwheel tilings of the plane
• A homeomorphism invariant for substitution tiling spaces
• Cohomology of substitution tiling spaces
• Cohomology in one-dimensional substitution tiling spaces
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• Dynamics of self-similar tilings
• On the dynamics of \mathbb{G} -solenoids. Applications to Delone sets
• Tiling spaces are inverse limits
• NONCOMMUTATIVE GEOMETRY OF TILINGS AND GAP LABELLING

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