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Decomposition complexity with respect to coarse properties

Published 1 Nov 2016 in math.MG and math.GT | (1611.00265v3)

Abstract: We formalize the concept of a family of metric spaces satisfying a coarse property uniformly and we generalize finite decomposition complexity of Erik Guentner, Romain Tessera, and Guoliang Yu. Of particular interest are results determining sufficient conditions for a metric space to satisfy Property A of Guoliang Yu.

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