Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth
Fundamenta Mathematicae, Tome 236 (2017) no. 2, pp. 187-192
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
shown every subspace coarse disjoint union sequence graphs large girth has infinite asymptotic dimension asymptotic dimension
Affiliations des auteurs :
Takamitsu Yamauchi 1
@article{10_4064_fm266_6_2016,
author = {Takamitsu Yamauchi},
title = {Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth},
journal = {Fundamenta Mathematicae},
pages = {187--192},
publisher = {mathdoc},
volume = {236},
number = {2},
year = {2017},
doi = {10.4064/fm266-6-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm266-6-2016/}
}
TY - JOUR AU - Takamitsu Yamauchi TI - Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth JO - Fundamenta Mathematicae PY - 2017 SP - 187 EP - 192 VL - 236 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm266-6-2016/ DO - 10.4064/fm266-6-2016 LA - en ID - 10_4064_fm266_6_2016 ER -
%0 Journal Article %A Takamitsu Yamauchi %T Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth %J Fundamenta Mathematicae %D 2017 %P 187-192 %V 236 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/fm266-6-2016/ %R 10.4064/fm266-6-2016 %G en %F 10_4064_fm266_6_2016
Takamitsu Yamauchi. Hereditarily infinite-dimensional property for asymptotic dimension and graphs with large girth. Fundamenta Mathematicae, Tome 236 (2017) no. 2, pp. 187-192. doi: 10.4064/fm266-6-2016
Cité par Sources :