Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660974 | Topology and its Applications | 2008 | 6 Pages |
Abstract
We demonstrate that for every n<ω there exists a separable completely metrizable space Xn which has a continuous selection for its Vietoris hyperspace of nonempty compact subsets, but dim(Xn)=n. Related results and open problems are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology