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  1. 1 Acta Physica Polonica A

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  1. 1 2014

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  1. 1 Bugarin E.

  2. 1 Gähler F.

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Quotient Cohomology of Certain 1- and 2-Dimensional Substitution Tiling Spaces

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Bugarin E., Gähler F.
Acta Physica Polonica A
|
2014
|
vol. 126
|
issue 2
438-441
EN
The quotient cohomology of tiling spaces is a topological invariant that relates a tiling space to one of its factors, viewed as topological dynamical systems. In particular, it is a relative version of the tiling cohomology that distinguishes factors of tiling spaces. In this work, the quotient cohomologies within certain families of substitution tiling spaces in 1 and 2 dimensions are determined. Specifically, the quotient cohomologies for the family of the generalised Thue-Morse sequences and generalised chair tilings are presented.
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