Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661489 | Topology and its Applications | 2006 | 16 Pages |
Abstract
Let I be the unit interval. We show that the metric connectivity images and metric extendable images of Im, when m>1, are exactly the separable metric spaces which have a dense arc-component. This contrasts strongly with the metric almost continuous images of Im.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology