International Journal of Mathematics and Mathematical Sciences 
Volume 26 (2001), Issue 7, Pages 385-392
doi:10.1155/S0161171201006147

Quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces

Koena Rufus Nailana

 Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0001, South Africa
Received 3 November 2000

Abstract

We determine conditions for quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces. We also study conditions for complete quasi-pseudometrizability.