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math.MG2022
Characterisations for uniform amenability
Jingming Zhu, Jiawen Zhang
In this paper, we provide several characterisations for uniform amenability concerning a family of finitely generated groups. More precisely, we show that the Hulanicki-Reiter cond…
math.MG2019
A metric space with its transfinite asymptotic dimension omega + 1
Yan Wu, Jingming Zhu
We construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both omega+1, where omega is the smallest infinite ordinal numb…
math.MG2017
Classification of metric spaces with infinite asymptotic dimension
Yan Wu, Jingming Zhu
We introduce a geometric property complementary-finite asymptotic dimension (coas- dim). Similar with asymptotic dimension, we prove the corresponding coarse invariant theorem, uni…