arXiv:1701.03903 Abstract | arXiv Analytics

arXiv:1701.03903 [math.GT]Abstract References Reviews Resources

Classification of metric spaces with infinite asymptotic dimension

Published 2017-01-14Version 1

In this paper, we give a new version of transfinite asymptotic dimensions and prove some related properties. Besides, we give some examples to distinguish them. In particular, we obtain that Thompson group F equipped with the word-metric with respect to the infinite generating set does not have asymptotic property C.

Comments: 12 pages

Categories: math.GT

Keywords: infinite asymptotic dimension, metric spaces, classification, transfinite asymptotic dimensions, infinite generating set

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