Cao, JJunnila, HMoors, W2012-03-282012-03-282011-11-222011-11-22https://hdl.handle.net/10292/3527In this paper, topological properties of Wijsman hyperspaces are investigated. We study the existence of isolated points in Wijsman hyperspaces. We show that every Tychonoff space can be embedded as a closed subspace in the Wijsman hyperspace of a complete metric space which is locally R.arXiv does not ask that copyright be transferred. However, we require sufficient rights to allow us to distribute submitted articles in perpetuity. In order to submit an article to arXiv, the submitter must either: grant arXiv.org a non-exclusive and irrevocable license to distribute the article, and certify that they have the right to grant this license, certify that the work is available under either the Creative Commons Attribution license, or the Creative Commons Attribution-Noncommercial-ShareAlike license, and that they have the right to grant this license, or certify that the work is in the public domain (we will store this information by associating the Create Commons Public Domain Declaration with the submission)Wijsman hyperspaceMetric spaceEmbeddingTychonoffZero-dimensionalCommissioned ReportOpenAccess