Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth

DOI10.4064/FM266-6-2016zbMath1365.54027OpenAlexW2507698837MaRDI QIDQ2957268

Takamitsu Yamauchi

Publication date: 25 January 2017

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm266-6-2016

zbMATH Keywords

asymptotic dimensiongraphs with large girthhereditarily infinite-dimensional

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Planar graphs; geometric and topological aspects of graph theory (05C10) Dimension theory in general topology (54F45)

Related Items (1)

The asymptotic dimension of box spaces of virtually nilpotent groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite dimensional compacta containing no \(n\)-dimensional \((n \geq 1)\) subsets
• Introductory notes on Richard Thompson's groups
• On the Higson corona of uniformly contractible spaces
• On asymptotic dimension of groups
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• On asymptotic dimension with linear control
• The asymptotic dimension of the first Grigorchuk group is infinity.
• PROPERTY A AND GRAPHS WITH LARGE GIRTH
• An example of a finitely presented amenable group not belonging to the classEG
• Amenable group actions and the Novikov conjecture

This page was built for publication: Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth