Topology + Algebra and Analysis
32nd Summer Conference on Topology and Its Applications
In this talk we are going to describe Sz´az’s construction of some class of metric spaces. Most of all we will analyze topological properties of metric spaces obtained by using Sz´az’s construction. In particular, we provide necessary and sufficient conditions for completeness of metric spaces obtained in this way. Moreover, we will discuss the relation between Sz´az’s construction and the “linking construction”. A particular attention will be drawn to the “floor” metric, the analysis of which provides some interesting observations.
Copyright © 2017, the Author
Bugajewski, Dariusz, "On a Construction of Some Class of Metric Spaces" (2017). Summer Conference on Topology and Its Applications. 8.