Article ID Journal Published Year Pages File Type
4659866 Topology and its Applications 2008 8 Pages PDF
Abstract

In our main result we prove that a continuous function f:R→R fixes a point iff does, where is the continuous extension of f over the Čech–Stone compactification. In the second half of the paper the statement of this theorem with R replaced by an arbitrary X is taken for a definition of a property and a number of results about the property are proved.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology