Moshokoa, Seithuti P.2025-01-102025-01-102002-01-012391-4661 (E)https://doi.org/10.1515/dema-2002-0204https://hdl.handle.net/20.500.14519/1122We 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.233-241 PagesenAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/Metric spaceHausdorff metricLocally compactArticle