| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659116 | Topology and its Applications | 2012 | 10 Pages |
Abstract
We establish negative results about “rectangular” local bases in compacta. For example, there is no compactum where all points have local bases of cofinal type ω×ω2. For another, the compactum βω has no nontrivially rectangular local bases, and the same is consistently true of βω∖ω: no local base in βω has cofinal type κ×c if κ
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
