Article ID Journal Published Year Pages File Type
4659374 Topology and its Applications 2010 5 Pages PDF
Abstract

We construct a family of Hausdorff spaces such that every finite product of spaces in the family (possibly with repetitions) is CLP-compact, while the product of all spaces in the family is non-CLP-compact. Our example will yield a single Hausdorff space X such that every finite power of X is CLP-compact, while no infinite power of X is CLP-compact. This answers a question of Steprāns and Šostak.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology