Quantale-valued Wijsman convergence

G. Jäger

For the hyperspace of non-empty closed sets of a quantale-valued metric space, we define a quantale-valued convergence tower which generalizes the classical Wijsman convergence. We characterize this quantale-valued convergence tower by a quantale-valued neighbourhood tower and show that it is uniformizable. Finally we study compactness and completeness of the quantale-valued Wijsman convergence tower.