Document Type
Topology + Geometry
Publication Date
6-2017
Publication Source
32nd Summer Conference on Topology and Its Applications
Abstract
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
Copyright © 2017, the Authors
eCommons Citation
Bell, Gregory C. and Nagórko, Andrzej, "On Product Stability of Asymptotic Property C" (2017). Summer Conference on Topology and Its Applications. 28.
https://ecommons.udayton.edu/topology_conf/28
Comments
This document is available for download with the permission of the presenting author and the organizers of the conference. Permission documentation is on file.
Technological limitations may prevent some mathematical symbols and functions from displaying correctly in this record’s metadata fields. Please refer to the attached PDF for the correct display.