Article ID Journal Published Year Pages File Type
4661530 Topology and its Applications 2007 13 Pages PDF
Abstract

Let A and B be subspaces of an ordinal. It is proved that the product A×B is countably paracompact if and only if it is rectangular. Before this main result, we discuss several covering properties of products with one ordinal factor. In particular, for every paracompact space X, it is proved that the product X×A is paracompact if so is A.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology