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Integer Cech cohomology of a class of n-dimensional substitutions

✍ Scribed by Juan García Escudero

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 205 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1382

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✦ Synopsis

A class of non-periodic tilings in n-dimensions is considered. They are based on one-dimensional substitution tilings that force the border, a property preserved in the construction for higher dimensions. This fact allows to compute the integer Čech cohomology of the tiling spaces in an efficient way. Several examples are analyzed, some of them with PV numbers as inflation factors, and they have finitely or infinitely generated torsion-free cohomologies.

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