Spaces of Projection Method Patterns and their Cohomology

Hunton, John

doi:10.1007/978-3-0348-0903-0_4

Spaces of Projection Method Patterns and their Cohomology

Hunton, John

Authors

Professor John Hunton john.hunton@durham.ac.uk
Professor

Contributors

J. Kellendonk
Editor

D. Lenz
Editor

J. Savinien
Editor

Abstract

We explain from the basics why the Čech cohomology of a tiling space can be realised in terms of group cohomology, and use this to explain how to compute the cohomology of a projection pattern.

Citation

Hunton, J. (2015). Spaces of Projection Method Patterns and their Cohomology. In J. Kellendonk, D. Lenz, & J. Savinien (Eds.), Mathematics of aperiodic order (105-135). Birkhäuser Verlag. https://doi.org/10.1007/978-3-0348-0903-0_4

Acceptance Date	Nov 25, 2014
Online Publication Date	Jul 30, 2015
Publication Date	Jul 14, 2015
Deposit Date	Feb 11, 2015
Publisher	Birkhäuser Verlag
Pages	105-135
Series Title	Progress in mathematics
Edition	1st
Book Title	Mathematics of aperiodic order.
ISBN	9783034809023
DOI	https://doi.org/10.1007/978-3-0348-0903-0_4
Keywords	Aperiodic patterns, Cut and project, Model sets, Cohomology, Tilings, Cantor bundles.
Additional Information	Series: Progress in Mathematics, vol.309