International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 18, Pages 2933-2943
doi:10.1155/IJMMS.2005.2933
On completeness of quasi-pseudometric spaces
Seithuti P. Moshokoa
Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa
Abstract
We discuss completeness in terms of a notion of absolute closure. This will be done in the context of separated quasi-pseudometric spaces and bitopological spaces. The notion is equivalent to the classical notion of completeness when restricted to the class of metric spaces.