A Metric Space with Transfinite Asymptotic Dimension 2ω + 1

Abstract

The authors construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both 2ω + 1, where ω is the smallest infinite ordinal number. Therefore, an example of a metric space with asymptotic property C is obtained.

Keywords

Transfinite asymptotic dimension / Complementary-finite asymptotic dimension / Asymptotic property C

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