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| A Metric Space with Transfinite Asymptotic Dimension 2ω + 1* |
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Citation： |
Yan WU,Jingming ZHU.A Metric Space with Transfinite Asymptotic Dimension 2ω + 1*[J].Chinese Annals of Mathematics B,2021,42(3):357~366 |
| Page view： 396
Net amount： 349 |
Authors： |
Yan WU; Jingming ZHU |
Foundation： |
National Natural Science Foundation of China (Nos. 12071183,11871342). |
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| 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 |
Classification： |
20F69, 20F65 |
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