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arXiv · 2007.07416

On metric spaces with given transfinite asymptotic dimensions

Yan Wu·Jingming Zhu·Taras Radul
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Abstract

For every countable ordinal number $\xi$, we construct a metric space $X_{\xi}$ whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both $\xi$.

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Yan Wu, Jingming Zhu, Taras Radul. 2020-07-15. On metric spaces with given transfinite asymptotic dimensions. https://arxiv.org/abs/2007.07416

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