| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660260 | Topology and its Applications | 2008 | 6 Pages |
Abstract
We construct a two-point selection , where P is the set of the irrational numbers, such that the space (P,τf) is not normal and it is not collectionwise Hausdorff either. Here, τf denotes the topology generated by the two-point selection f. This example answers a question posed by V. Gutev and T. Nogura. We also show that if is a two-point selection such that the topology τf has countable pseudocharacter, then τf is a Tychonoff topology.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
