A solution to the completion problem of quasi-uniform spaces
dc.contributor.author | Andrikopoulos, A. | en |
dc.contributor.author | Stabakis, J. | en |
dc.date.accessioned | 2015-11-24T17:05:14Z | |
dc.date.available | 2015-11-24T17:05:14Z | |
dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/11286 | |
dc.rights | Default Licence | - |
dc.subject | completion of a quasi-uniform space | en |
dc.subject | quiet spaces | en |
dc.subject | D-completion | en |
dc.title | A solution to the completion problem of quasi-uniform spaces | en |
heal.abstract | We 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.access | campus | - |
heal.fullTextAvailability | TRUE | - |
heal.journalType | peer reviewed | - |
heal.language | en | - |
heal.publicationDate | 2010 | - |
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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