Abstract
We study the structure of spaces admitting a continuous bijection to the space of all countable ordinals with its usual order topology. We relate regularity, zero-dimensionality and pseudonormality. We examine the effect of covering properties and ω1 -compactness and show that locally compact examples have a particularly nice structure assuming MA + CH. We show that various conjectures concerning normality-type properties in products can be settled (modulo set-theory) amongst such spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 125-142 |
| Number of pages | 18 |
| Journal | Topology and its Applications |
| Volume | 75 |
| Issue number | 2 |
| Publication status | Published - 1997 |
Keywords
- ω
- ω-compactness
- Countable ordinals
- Covering properties
- Intersection topologies
- Normality in products
ASJC Scopus subject areas
- Geometry and Topology