Article ID Journal Published Year Pages File Type
4661444 Topology and its Applications 2007 4 Pages PDF
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