Equivalence among hypertopologies
The authors study conditions under which the ball, proximal-ball and Wijsman topologies coincide pairwise. This is useful since these topologies are close to each other. It is well known that many hypertopologies depend on the metric of the base space and so the authors provide conditions under which two equivalent metrics induce the same hypertopology. They also give examples of nonregular ball and proximal-ball topologies.
scientific article; zbMATH DE number 851455