A metric space with transfinite asymptotic dimension $2ω+1$
英文摘要:
We construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension $2ω+1$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
Yan Wu, Jingming Zhu
We construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension $2ω+1$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
继续探索
We build an example of a metric space with transfinite asymptotic dimension $2ω$.
We construct a class of metric spaces whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both $ω+k$ for any $k\in\mathbb{N}$, where $ω$ is the smallest infinite ordinal number and a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both $2ω$. Moreover, we study the relationship between asymptotic dimension growth, transfinite asymptotic dimension and finite decomposition complexity.
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