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Spaces of Projection Method Patterns and their Cohomology

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Mathematics of Aperiodic Order

Part of the book series: Progress in Mathematics ((PM,volume 309))

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.

Mathematics Subject Classification (2010). Primary: 52C23; Secondary: 37B50, 55C22, 54H20, 55R20.

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Correspondence to John Hunton .

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Hunton, J. (2015). Spaces of Projection Method Patterns and their Cohomology. In: Kellendonk, J., Lenz, D., Savinien, J. (eds) Mathematics of Aperiodic Order. Progress in Mathematics, vol 309. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0903-0_4

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