The topological dimension of limits of vertex replacements

DOI10.1016/J.TOPOL.2005.07.008zbMath1092.05019OpenAlexW2152482552MaRDI QIDQ2498029

Shun-Hsiang Yang, Michelle Previte

Publication date: 4 August 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.07.008

zbMATH Keywords

fractalstopological dimensionvertex replacement rulesGromov-Hausdorff metric

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Fractals (28A80) Dimension theory in general topology (54F45)

Related Items (1)

The Growth of Limits of Vertex Replacement Rules

Cites Work

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• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• The dimensions of limits of vertex replacement rules
• Limits of vertex replacement rules
• Graph substitutions
• The topological dimension of limits of graph substitutions
• Spaces of nonpositive curvature

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