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

Volume 236 / 2017

Takamitsu Yamauchi 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.

Authors

  • Takamitsu YamauchiGraduate School of Science and Engineering
    Ehime University
    Matsuyama, 790-8577, Japan
    e-mail

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