The Wijsman and Attouch-Wets topologies on hyperspaces revisited

Topology and its Applications

Volumn 70, Issue 2-3, 1996, Pages 179-197

  Lowen, R ^a   Sioen, M ^a  

^a UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

Approach space; Attouch Wets topology; Completeness; Coreflection; Distance; Hausdorff metric; Initial structures; Measure of compactness; Wijsman topology

Indexed keywords

EID: 0042693647     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0166-8641(95)00096-8     Document Type: Article

References (7)

1. J. Adamek, H. Herrlich, and G.E. Strecker, Abstract and Concrete Categories (Wiley, New York, 1990).
2. H. Attouch, R. Lucchetti, and R. Wets, The topology of the ρ-Hausdorff distance, Ann. Mat. Pura Appl., to appear.
3. H. Attouch and R. Wets, Quantitative stability of variational systems: I. The epigraphical distance, Trans. Amer. Math. Soc. 328 (1991) 695-730.
4. D. Azé, Caractérisation de la convergence au sens de Mosco en terme d'approximation infconvolutives, Ann. Fac. Sci. Toulouse 8 (1986) 293-314.
5. J. Banaś and K. Goebel, Measures of Noncompactness in Banach Spaces, Lecture Notes in Pure and Applied Mathematics 60 (Marcel Dekker, New York, 1980).
6. G. Beer, Metric spaces with nice closed balls and distance functions for closed sets, Bull. Australian Math. Soc. 35 (1987) 81-96.
7. G. Beer, Convergence of continuous linear functionals and their level sets, Archiv Math. 52 (1989) 482-491.