# Hierarchy of graph matchbox manifolds

@article{Lukina2012HierarchyOG, title={Hierarchy of graph matchbox manifolds}, author={O. Lukina}, journal={Topology and its Applications}, year={2012}, volume={159}, pages={3461-3485} }

Abstract We study a class of graph foliated spaces, or graph matchbox manifolds, initially constructed by Kenyon and Ghys. For graph foliated spaces we introduce a quantifier of dynamical complexity which we call its level. We develop the fusion construction, which allows us to associate to every two graph foliated spaces a third one which contains the former two in its closure. Although the underlying idea of the fusion is simple, it gives us a powerful tool to study graph foliated spaces… CONTINUE READING

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