Abstract.Many important examples of topological spaces can be represented as a union of a finite or countable collection of metrizable subspaces. However, it is far from clear which spaces in general ...
We prove the following two results. 1) There exists a non-separable complete metric space whose Wijsman hypertopology is not ÄŒech-complete. 2) There exist a non-separable metrizable space and two ...