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

• Authors: E. Bugarin , F. Gähler
• Languages of publication: EN

Abstracts

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.

Keywords

EN

02.40.Re; 45.30.+s

Discipline

• 02.40.Re: Algebraic topology
• 45.30.+s: General linear dynamical systems(for nonlinear dynamical systems, see 05.45.-a)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 438-441

Dates

published

2014-08

Contributors

author

E. Bugarin

• Fakultät für Mathematik, Universität Bielefeld Universitätsstraße 25, D-33615 Bielefeld, Germany

author

F. Gähler

• Fakultät für Mathematik, Universität Bielefeld Universitätsstraße 25, D-33615 Bielefeld, Germany

References

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• [7] M. Baake, F. Gähler, U. Grimm, J. Int. Seq. 16, 13.2.14 (2013) http://cs.uwaterloo.ca/journals/JIS/VOL16/Baake/baake3.html
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Identifiers

DOI

10.12693/APhysPolA.126.438