Topology and its applications, 2018-05, Vol.240, p.21-34
2018
Details
- Autor(en) / Beteiligte
- Titel
- Splitting ultra-metrics by T0-ultra-quasi-metrics
- Ist Teil von
- Topology and its applications, 2018-05, Vol.240, p.21-34
- Ort / Verlag
- Elsevier B.V
- Erscheinungsjahr
- 2018
- Link zum Volltext
- Quelle
- EZB Electronic Journals Library
- Beschreibungen/Notizen
- Given a T0-ultra-quasi-metric u on a set X, we write us for its symmetrization u∨u−1. In this paper we show that there exists a T0-ultra-quasi-metric v on X such that v≤u, vs=us and the specialization order of v is linear. We also discuss connections of this statement with related results about Robinsonian dissimilarities and orderability of ultra-metrizable topological spaces.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0166-8641eISSN: 1879-3207DOI: 10.1016/j.topol.2018.03.003Titel-ID: cdi_crossref_primary_10_1016_j_topol_2018_03_003