Item

The hausdorff metric and its extensions.

Moshokoa, Seithuti P.
Citations
Altmetric:
Abstract
We consider a complete metric space (X, p) such that closed balls are compact. The paper is devoted to the Hausdorff distance d defined on 5?, the space of all nonempty compact subsets of X. We construct an embedding (5R, d) (Sr, distf), where S is the family of all closed subsets of X. We show that (Sr, distf) is compact.
Description
Date
2002-01-01
Journal Title
Journal ISSN
Volume Title
Publisher
De Gruyter
Collections
Department of Mathematics and Statistics - Research Articles
Show all metadata
Files
Moshokoa 53.pdf
Adobe PDF, 790.08 KB
Research Projects
Organizational Units
Journal Issue
Keywords
Metric space, Hausdorff metric, Locally compact
Citation
URI
https://hdl.handle.net/20.500.14519/1122
Embedded videos