The North Carolina Journal of Mathematics and Statistics

On Constructions Preserving the Asymptotic Topology of Metric Spaces

Gregory C Bell, Danielle Shea Moran


We prove that graph products constructed over infinite graphs with bounded clique number preserve finite asymptotic dimension. We also study the extent to which Dranishnikov's asymptotic property C and Dranishnikov and Zarichnyi's straight finite decomposition complexity are preserved by constructions such as unions, free products, and group extensions.

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