English

Classification of metric spaces with infinite asymptotic dimension

Metric Geometry 2017-10-23 v3 Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.1701.03903,
  title  = {Classification of metric spaces with infinite asymptotic dimension},
  author = {Yan Wu and Jingming Zhu},
  journal= {arXiv preprint arXiv:1701.03903},
  year   = {2017}
}

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15 pages