| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660608 | Topology and its Applications | 2010 | 4 Pages |
Abstract
We prove that every LΣ(n)-space (that is, the image of a separable metrizable space under an at most n-valued upper semicontinuous mapping) is a union of n subspaces of countable pseudocharacter and has countable tightness. In particular, every LΣ(n)-space has a dense set of Gδ-points, and every LΣ(n)-topological group has countable network.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
