Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661444 | Topology and its Applications | 2007 | 4 Pages |
Abstract
If X is a separable 0-dimensional metrizable space in which every compact subset is countable, then C(X) with the compact-open topology is stratifiable iff X is scattered. This answers a question of Gruenhage and lends credence to a conjecture of Gartside and Reznichenko.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology