International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 2, Pages 109-117
doi:10.1155/S0161171203007646

Local compactness in approach spaces II

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, Antwerpen (Wilrijk) B-2610, Belgium
Received 20 May 2001

Abstract

This paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products.