A solution to the completion problem of quasi-uniform spaces (Journal article)
Andrikopoulos, A./ Stabakis, J.
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.
|Institution and School/Department of submitter:||Πανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημών|
|Keywords:||completion of a quasi-uniform space,quiet spaces,D-completion|
|Appears in Collections:||Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)|
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