Article ID Journal Published Year Pages File Type
4661489 Topology and its Applications 2006 16 Pages PDF
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