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arXiv · 1607.07599

Asymptotic property C of the wreath product ZwrZ

Jingming Zhu·Yan Wu
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Abstract

Using the relationship between transfinite asymptotic dimension and asymptotic property C, we obtain that the wreath product Z wr Z has asymptotic property C. Specifically, we prove that the transfinite asymptotic dimension of the wreath product Z wr Z is no more than omega+ 1.

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Jingming Zhu, Yan Wu. 2016-07-26. Asymptotic property C of the wreath product ZwrZ. https://arxiv.org/abs/1607.07599

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