| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661075 | Topology and its Applications | 2008 | 6 Pages |
Abstract
A neighbourhood assignment in a space X is a family of open subsets of X such that x∈Ox for any x∈X. A set Y⊆X is a kernel of O if . We obtain some new results concerning dually discrete spaces, being those spaces for which every neighbourhood assignment has a discrete kernel. This is a strictly larger class than the class of D-spaces of [E.K. van Douwen, W.F. Pfeffer, Some properties of the Sorgenfrey line and related spaces, Pacific J. Math. 81 (2) (1979) 371–377].
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
