On constructions preserving the asymptotic topology of metric spaces

Gregory C. Bell; Danielle S. Moran

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arXiv · 1309.6276

On constructions preserving the asymptotic topology of metric spaces

Gregory C. Bell·Danielle S. Moran

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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 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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Gregory C. Bell, Danielle S. Moran. 2015-10-06. On constructions preserving the asymptotic topology of metric spaces. https://arxiv.org/abs/1309.6276

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