| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660957 | Topology and its Applications | 2006 | 7 Pages |
Abstract
Assuming the Singular Cardinals Hypothesis, we prove the following property: σ-CWH:For every singular strong limit cardinal κ and ↗-normal space X such that for some χ<κ, every x∈X has a neighborhood base of size ⩽χ, if every closed discrete subspace of size <κ is σ-separated, then so is every closed discrete subspace of size κ. So for getting a model of the negation of σ-CWH, we require a large cardinal.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
