Document Type
Topology + Algebra and Analysis
Publication Date
6-2017
Publication Source
32nd Summer Conference on Topology and Its Applications
Abstract
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
Copyright © 2017, the Author
eCommons Citation
Bugajewski, Dariusz, "On a Construction of Some Class of Metric Spaces" (2017). Summer Conference on Topology and Its Applications. 8.
https://ecommons.udayton.edu/topology_conf/8
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.