Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658787 | Topology and its Applications | 2013 | 16 Pages |
Abstract
In this article we investigate which compact spaces remain compact under countably closed forcing. We prove that, assuming the Continuum Hypothesis, the natural generalizations to Ï1-sequences of the selection principle and topological game versions of the Rothberger property are not equivalent, even for compact spaces. We also show that Tall and Usubaʼs “âµ1-Borel Conjecture” is equiconsistent with the existence of an inaccessible cardinal.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Rodrigo R. Dias, Franklin D. Tall,