Metric spaces with subexponential asymptotic dimension growth. (English) Zbl 1238.54015
Summary: We prove that a metric space with subexponential asymptotic dimension growth has Yu’s property A.
MSC:
54F45 | Dimension theory in general topology |
20F69 | Asymptotic properties of groups |
51F99 | Metric geometry |
References:
[1] | DOI: 10.1007/s10711-005-9026-z · Zbl 1113.20036 · doi:10.1007/s10711-005-9026-z |
[2] | DOI: 10.1090/conm/347/06268 · doi:10.1090/conm/347/06268 |
[3] | R. Willett, Limits of Graphs in Group Theory and Computer Science (EPFL Press, Lausanne, 2009) pp. 191–281. |
[4] | DOI: 10.1007/s002229900032 · Zbl 0956.19004 · doi:10.1007/s002229900032 |
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