J Austral Math Soc Ser A 49 pp231--240, 1990.

On Countably Compact Quasi-Pseudometrizable Spaces

Sergio Salbany and Salvador Romaguera

(Received 15 April 1989; revised 31 October 1989)

Abstract

We prove the following results: (1) A quasi-metrizable space is compact if and only if every compatible quasi-metric has a quasi-metric left d-sequential completion. (2) A quasi-pseudometrizable space is countably compact if and only if every compatible quasi-pseudometric is pointwise bounded. (3) A quasi-pseudometrizable space is compct if and only if every compatible quasi-pseudometric is precompact.

1980 AMS Subject Classification (1985 Revision): 54D30, 54E35, 54E45, 54E50, 54E52

Browse the article

Read the article in your browser. (Scale your print to fit your paper).

Authors

Sergio Salbany: Department of Mathematics, University of Zimbabwe, P. O. Box MP 167, Mount Pleasant, Harare, Zimbabwe.
Salvador Romaguera: Departamento de Matemática, Aplicada, Escuela de Caminos, Universidad Politécnica, 46071 Valencia, Spain.

Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au

Last Modified: Wed Feb 19 10:27:52 2003