On metric spaces with given transfinite asymptotic dimensions

2020/07/15 by Yan Wu, Wu, Yan, Jingming Zhu +3
Mathematics · #Advanced Topology and Set Theory #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2007.07416

Abstract

For every countable ordinal number ξ, we construct a metric space X_ξ whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both ξ.

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