A Construction of an Idempotent Half-Completion for Quasi-Uniform Spaces (Journal article)

Andrikopoulos, A.


Csaszar (1963) and Deak (1991) have introduced the notion of half-completeness in quasi-uniform spaces which generalizes the well known notion of bicompleteness. In this paper, for any quasi-uniform space, we construct a half-completion, called standard half-completion. The standard half-completion coincides with the usual uniform completion in the case of uniform spaces. It is also an idempotent operation in the sense that the standard half-completion of a half-complete quasi-uniform space coincides (up to a quasi-isomorphism) with the space itself.
Institution and School/Department of submitter: Πανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημών
Keywords: quasi-uniform,bicompletion,half-completion,completeness
URI: http://olympias.lib.uoi.gr/jspui/handle/123456789/11304
ISSN: 0081-6906
Link: <Go to ISI>://000277966000005
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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