The North Carolina Journal of Mathematics and Statistics

On Constructions Preserving the Asymptotic Topology of Metric Spaces

Gregory C Bell, Danielle Shea Moran

Abstract


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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