A Solution to the Completion Problem for Quasi-Pseudometric Spaces
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The different notions of Cauchy sequence and completeness proposed in the literature for quasi-pseudometric spaces do not provide a satisfactory theory of completeness and completion for all quasi-pseudometric spaces.
In this paper, we introduce a notion of completeness which is classical in the sense that it is made up of equivalence classes of Cauchy sequences and constructs a completion for any given T0 quasi-pseudometric space.
This new completion theory extends the existing completion theory for metric spaces and satisfies the requirements posed by Doitchinov for a nice theory of completeness.
American Psychological Association (APA)
Andrikopoulos, Athanasios. 2013. A Solution to the Completion Problem for Quasi-Pseudometric Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-459731
Modern Language Association (MLA)
Andrikopoulos, Athanasios. A Solution to the Completion Problem for Quasi-Pseudometric Spaces. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-459731
American Medical Association (AMA)
Andrikopoulos, Athanasios. A Solution to the Completion Problem for Quasi-Pseudometric Spaces. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-459731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459731