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Fundamental cocycles of tiling spaces

Published online by Cambridge University Press:  04 June 2001

MANFRED EINSIEDLER
MANFRED EINSIEDLER
Affiliation:
Mathematics Institute, University of Vienna, Strudlhofgasse 4, A-1090 Vienna, Austria (e-mail: manfred.einsiedler@univie.ac.at)
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Abstract

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We study continuous cocycles defined on the set of planar tilings with values in discrete groups. Following Schmidt we show that for generalized domino tilings, L-tiles, and some systems of paths there exists a fundamental cocycle, i.e. we find a cocycle cf, so that all other continuous cocycles c are cohomologous to a homomorphic image of cf.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001, pp. 777 - 800
Copyright
2001 Cambridge University Press