On Constructions Preserving the Asymptotic Topology of Metric Spaces

Gregory C Bell; Danielle Shea Moran

Article

On Constructions Preserving the Asymptotic Topology of Metric Spaces

Authors

- Gregory C Bell
- University of North Carolina at Greensboro
- Danielle Shea Moran
- Guilford College

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.

Keywords:

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).