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Ozawa, Narutaka

Metric spaces with subexponential asymptotic dimension growth. (English) Zbl 1238.54015

Int. J. Algebra Comput. 22, No. 2, Article ID 1250011, 3 p. (2012).
Summary: We prove that a metric space with subexponential asymptotic dimension growth has Yu’s property A.

Cited in 2 Reviews
Cited in 7 Documents

MSC:

54F45 Dimension theory in general topology
20F69 Asymptotic properties of groups
51F99 Metric geometry

Keywords:

coarse metric space; asymptotic dimension; Yu’s property A
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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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