Article ID Journal Published Year Pages File Type
4659291 Topology and its Applications 2013 8 Pages PDF
Abstract

Let Z, H be spaces. We introduce the direct system X induced by the set of maps between the spaces Z and H and explore conditions under which will be pseudo-compact, but not necessarily compact. We also define the concept of a space Y being an absolute extensor relative to convergent sequences for a given space Z, which is useful in our situation and is used in formulating sufficient conditions for to be pseudo-compact.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology