International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 3, Pages 429-438
Local compactness in approach spaces I
1Department of Mathematics, University of Antwerp, RUCA, Groenenborgerlaan 171, Antwerp B-2020, Belgium
2Department of Mathematics and Computer Science, University of Antwerp, UIA, Universiteitsplein 1, Wilrijk B-2610, Belgium
Received 14 August 1996
Copyright © 1998 R. Lowen and C. Verbeeck. 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.
This paper introduces some definitions of a concept of local compactness in approach
spaces. The basic relationships between these concepts is studied, and measures of local
compactness are defined.