A characterization for asymptotic dimension growth
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We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of finite dimension, giving an alternative proof of N. Wright's result on their finite asymptotic dimension. We also apply our new characterization to geodesic coarse median spaces of finite rank and establish that they have subexponential asymptotic dimension growth. This strengthens a recent result of J. Spakula and N. Wright.
- University of Vienna Austria
- University of Southampton United Kingdom
asymptotic dimension growth, 330, Asymptotic dimension growth, 20F67, 20F69, CAT(0) cube complex, Coarse median space, 101001 Algebra, SPACES, Metric Geometry (math.MG), mapping class group, Group Theory (math.GR), 510, 51F99, CONJECTURE, coarse median space, Mathematics - Metric Geometry, 20F65, 20F67, 20F69, 51F99, Mapping class group, FOS: Mathematics, 20F65, Mathematics - Group Theory
asymptotic dimension growth, 330, Asymptotic dimension growth, 20F67, 20F69, CAT(0) cube complex, Coarse median space, 101001 Algebra, SPACES, Metric Geometry (math.MG), mapping class group, Group Theory (math.GR), 510, 51F99, CONJECTURE, coarse median space, Mathematics - Metric Geometry, 20F65, 20F67, 20F69, 51F99, Mapping class group, FOS: Mathematics, 20F65, Mathematics - Group Theory
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