| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660048 | Topology and its Applications | 2008 | 5 Pages |
Abstract
Let X be a compact Hausdorff space. Suppose that any multivalued map , where Y is a Gδ subset of a Banach space, such that the values of F are convex and closed in Y, has a continuous single-valued selection. Then we prove that X is weakly infinite-dimensional. This provides a partial solution of Gδ-problem, posed by Ernest Michael.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
