Asymptotic property C of the wreath product ZwrZ

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.

References in corpus (2)

• Asymptotic topology
• Asymptotic dimension in Bedlewo