A solution to the completion problem of quasi-uniform spaces

dc.contributor.authorAndrikopoulos, A.en
dc.contributor.authorStabakis, J.en
dc.date.accessioned2015-11-24T17:05:14Z
dc.date.available2015-11-24T17:05:14Z
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/11286
dc.rightsDefault Licence-
dc.subjectcompletion of a quasi-uniform spaceen
dc.subjectquiet spacesen
dc.subjectD-completionen
dc.titleA solution to the completion problem of quasi-uniform spacesen
heal.abstractWe give a new completion for the quasi-uniform spaces. We call the whole procedure -completion and the new space -complement of the given. The basic result is that every T0 quasi-uniform space has a -completion. The -complement has some " crucial" properties, for instance, it coincides with the classical one in the case of uniform space or it extends the Doitcinov" s completion for the quiet spaces. We use nets and from one point of view the technique of the construction may be considered as a combination of the Mac Neille" s cut and of the completion of partially ordered sets via directed subsets.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2010-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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