Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bontchev Str., bl. 8, 1113, Sofia, Bulgaria
Abstract:
If (Y, d) is a complete metric space with a non-Archimedean metric d, then there exists a selection on the set
of all nonempty closed subsets of Y which is continuous with respect to both the Vietoris and Hausdorff topologies on
.