Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659374 | Topology and its Applications | 2010 | 5 Pages |
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