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arxiv: 1611.00265 · v3 · pith:DRHZQ3BCnew · submitted 2016-11-01 · 🧮 math.MG · math.GT

Decomposition complexity with respect to coarse properties

classification 🧮 math.MG math.GT
keywords coarsecomplexitydecompositionguoliangmetricpropertyconceptconditions
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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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