Endpoints in -Quasimetric Spaces: Part II

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dc.contributor.authorAgyingi, Collins Amburo
dc.contributor.authorHaihambo, Paulus
dc.contributor.authorKYnzi, Hans-Peter A
dc.date.accessioned2021-10-08T11:06:53Z
dc.date.available2021-10-08T11:06:53Z
dc.date.issued2013
dc.description.abstractWe continue our work on endpoints and startpoints in -quasimetric spaces. In particular we specialize some of our earlier results to the case of two-valued -quasimetrics, that is, essentially, to partial orders. For instance, we observe that in a complete lattice the startpoints (resp., endpoints) in our sense are exactly the completely join-irreducible (resp., completely meet-irreducible) elements. We also discuss for a partially ordered set the connection between its Dedekind-MacNeille completion and the -hyperconvex hull of its natural -quasimetric space.
dc.identifier.apacitationAgyingi, C. A., Haihambo, P., & KYnzi, H. A. (2013). Endpoints in -Quasimetric Spaces: Part II. <i>Abstract and Applied Analysis</i>, 2013(4), 174 - 177. http://hdl.handle.net/11427/35111en_ZA
dc.identifier.chicagocitationAgyingi, Collins Amburo, Paulus Haihambo, and Hans-Peter A KYnzi "Endpoints in -Quasimetric Spaces: Part II." <i>Abstract and Applied Analysis</i> 2013, 4. (2013): 174 - 177. http://hdl.handle.net/11427/35111en_ZA
dc.identifier.citationAgyingi, C.A., Haihambo, P. & KYnzi, H.A. 2013. Endpoints in -Quasimetric Spaces: Part II. <i>Abstract and Applied Analysis.</i> 2013(4):174 - 177. http://hdl.handle.net/11427/35111en_ZA
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.ris TY - Journal Article AU - Agyingi, Collins Amburo AU - Haihambo, Paulus AU - KYnzi, Hans-Peter A AB - We continue our work on endpoints and startpoints in -quasimetric spaces. In particular we specialize some of our earlier results to the case of two-valued -quasimetrics, that is, essentially, to partial orders. For instance, we observe that in a complete lattice the startpoints (resp., endpoints) in our sense are exactly the completely join-irreducible (resp., completely meet-irreducible) elements. We also discuss for a partially ordered set the connection between its Dedekind-MacNeille completion and the -hyperconvex hull of its natural -quasimetric space. DA - 2013 DB - OpenUCT DP - University of Cape Town IS - 4 J1 - Abstract and Applied Analysis LK - https://open.uct.ac.za PY - 2013 SM - 1085-3375 SM - 1687-0409 T1 - Endpoints in -Quasimetric Spaces: Part II TI - Endpoints in -Quasimetric Spaces: Part II UR - http://hdl.handle.net/11427/35111 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/35111
dc.identifier.vancouvercitationAgyingi CA, Haihambo P, KYnzi HA. Endpoints in -Quasimetric Spaces: Part II. Abstract and Applied Analysis. 2013;2013(4):174 - 177. http://hdl.handle.net/11427/35111.en_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.sourceAbstract and Applied Analysis
dc.source.journalissue4
dc.source.journalvolume2013
dc.source.pagination174 - 177
dc.source.urihttps://dx.doi.org/10.1155/2013/539573
dc.subject.otherBurns
dc.subject.otherDisaster Planning
dc.subject.otherHumans
dc.subject.otherMass Casualty Incidents
dc.subject.otherNational Health Programs
dc.subject.otherPractice Guidelines as Topic
dc.subject.otherSocieties, Medical
dc.subject.otherSouth Africa
dc.titleEndpoints in -Quasimetric Spaces: Part II
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
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