Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth
Volume 236 / 2017
Fundamenta Mathematicae 236 (2017), 187-192
MSC: Primary 54F45; Secondary 54E35, 05C10.
DOI: 10.4064/fm266-6-2016
Published online: 25 August 2016
Abstract
It is shown that every subspace of a coarse disjoint union of a sequence of graphs with large girth has infinite asymptotic dimension or asymptotic dimension at most one.
