Spaces of Projection Method Patterns and their Cohomology

Hunton, John

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

• 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.
• Public URL: https://durham-repository.worktribe.com/output/1671162
• Additional Information: Series: Progress in Mathematics, vol.309
• Contract Date: Nov 25, 2014