Completeness in quasi-uniform spaces

dc.contributor.author	Andrikopoulos, A.	en
dc.date.accessioned	2015-11-24T17:04:57Z
dc.date.available	2015-11-24T17:04:57Z
dc.identifier.uri	https://olympias.lib.uoi.gr/jspui/handle/123456789/11246
dc.rights	Default Licence	-
dc.subject	quasi-uniform space	en
dc.subject	D-completion	en
dc.subject	net-conet	en
dc.subject	bicompletion	en
dc.title	Completeness in quasi-uniform spaces	en
heal.abstract	We introduce a theory of completeness (the -completeness) for quasi-uniform spaces which extends the theories of bicompleteness and halfcompleteness and prove that every quasi-uniform space has a -completion. This theory is based on a new notion of a Cauchy pair of nets which makes use of couples of nets. We call them cuts of nets and our inspiration is due to the construction of the -cut on a quasi-uniform space (cf. [1], [20]). This new version of completeness coincides with bicompletion, half-completion and D-completion in extended subclasses of the class of quasi-uniform spaces.	en
heal.access	campus	-
heal.fullTextAvailability	TRUE	-
heal.journalName	Acta Mathematica Hungarica	en
heal.journalType	peer reviewed	-
heal.language	en	-
heal.publicationDate	2004	-
heal.recordProvider	Πανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημών	el
heal.type	journalArticle	-
heal.type.el	Άρθρο Περιοδικού	el
heal.type.en	Journal article	en

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