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Corpus ID: 119615703

Textile systems, coloured graphs and their applications to higher-rank graphs

@article{Kang2013TextileSC,
title={Textile systems, coloured graphs and their applications to higher-rank graphs},
author={S. Kang and D. Pask and Samuel G. Webster},
journal={arXiv: Dynamical Systems},
year={2013}
}

We compute a presentation of the fundamental group of a higher-rank graph using a coloured graph description of higher-rank graphs developed by the third author. We show that textile systems may be thought of as generalisations of $2$-graphs. We define the fundamental, homology and cohomology groups of a textile system generalising those for rank-$2$ graphs. Our new approach to provides a tractable description of the funadmental group and second cohomology group of a textile system.