On Constructions Preserving the Asymptotic Topology of Metric Spaces
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.
How to Cite:
Bell, G. C. & Moran, D. S., (2015) “On Constructions Preserving the Asymptotic Topology of Metric Spaces”, North Carolina Journal of Mathematics and Statistics 1(1).
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