Topology + Geometry
32nd Summer Conference on Topology and Its Applications
Asymptotic property C is a dimension-like large-scale invariant of metric spaces that is of interest when applied to spaces with infinite asymptotic dimension. It was first described by Dranishnikov, who based it on Haver's topological property C. Topological property C fails to be preserved by products in very striking ways and so a natural question that remained open for some 10+ years is whether asymptotic property C is preserved by products. Using a technique inspired by Rohm we show that asymptotic property C is preserved by direct products of metric spaces.
Copyright © 2017, the Authors
Bell, Gregory C. and Nagórko, Andrzej, "On Product Stability of Asymptotic Property C" (2017). Summer Conference on Topology and Its Applications. 28.