International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 3, Pages 429-438
doi:10.1155/S016117129800060X

Local compactness in approach spaces I

R. Lowen1 and C. Verbeeck2

 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

Abstract

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.