International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 76904, 19 pages
doi:10.1155/2007/76904
Research Article

The Quasimetrization Problem in the (Bi)topological Spaces

Athanasios Andrikopoulos

Department of Economics, University of Ioannina, Ioannina 45110, Greece

Received 10 September 2006; Accepted 27 February 2007

Academic Editor: Etienne E. Kerre

Copyright © 2007 Athanasios Andrikopoulos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

It is our main purpose in this paper to approach the quasi-pseudometrization problem in (bi)topological spaces in a way which generalizes all the well-known results on the subject naturally, and which is close to a “Bing-Nagata-Smirnov style” characterization of quasi-pseudometrizability.