Wijsman hyperspaces: subspaces and embeddings

aut.embargofalse
aut.researcherCao, Jiling
dc.contributor.authorCao, J
dc.contributor.authorJunnila, H
dc.contributor.authorMoors, W
dc.date.accessioned2012-03-28T22:30:18Z
dc.date.available2012-03-28T22:30:18Z
dc.date.copyright2011-11-22
dc.date.issued2011-11-22
dc.description.abstractIn 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.
dc.identifier.urihttps://hdl.handle.net/10292/3527
dc.publisherCornell University
dc.relation.ispartofseriesnumber arXiv:1111.5103v1, pp.? - ?
dc.relation.urihttp://arxiv.org/abs/1111.5103
dc.rightsarXiv 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)
dc.rights.accessrightsOpenAccess
dc.subjectWijsman hyperspace
dc.subjectMetric space
dc.subjectEmbedding
dc.subjectTychonoff
dc.subjectZero-dimensional
dc.titleWijsman hyperspaces: subspaces and embeddings
dc.typeCommissioned Report
pubs.organisational-data/AUT
pubs.organisational-data/AUT/Design & Creative Technologies
pubs.organisational-data/AUT/Design & Creative Technologies/School of Computing & Mathematical Science
pubs.organisational-data/AUT/PBRF Researchers
pubs.organisational-data/AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers
pubs.organisational-data/AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers/DCT C & M Mathematical Science
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