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DC Field | Value | Language |
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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.type | journalArticle | - |
heal.type.en | Journal article | en |
heal.type.el | Άρθρο Περιοδικού | el |
heal.language | en | - |
heal.access | campus | - |
heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημών | el |
heal.publicationDate | 2004 | - |
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.journalName | Acta Mathematica Hungarica | en |
heal.journalType | peer reviewed | - |
heal.fullTextAvailability | TRUE | - |
Appears in Collections: | Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά) - ΟΕ |
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File | Description | Size | Format | |
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Andrikopoulos-2004-Completeness in quasi-uniform.pdf | 288.22 kB | Adobe PDF | View/Open Request a copy |
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