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arxiv: 1701.03903 · v3 · pith:P446TT56new · submitted 2017-01-14 · 🧮 math.MG · math.GT

Classification of metric spaces with infinite asymptotic dimension

classification 🧮 math.MG math.GT
keywords asymptoticdimensiontheoremclassificationcoarsecoas-complementary-finitecorresponding
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We introduce a geometric property complementary-finite asymptotic dimension (coas- dim). Similar with asymptotic dimension, we prove the corresponding coarse invariant theorem, union theorem and Hurewicz-type theorem.

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