Abstract
In this paper we investigate the relation between separability and the monotone Lindelöf property in generalized ordered (GO)-spaces. We examine which classical examples are or are not monotonically Lindelöf. Using a new technique for investigating open covers of GO-spaces, we show that any separable GO-space is hereditarily monotonically Lindelöf. Finally, we investigate the relation between the hereditarily monotonically Lindelöf property and the Souslin problem.
| Original language | English |
|---|---|
| Pages (from-to) | 180-186 |
| Number of pages | 7 |
| Journal | Topology and its Applications |
| Volume | 151 |
| Issue number | 1-3 SPEC. ISS. |
| DOIs | |
| State | Published - Jun 1 2005 |
Keywords
- GO-space
- Generalized ordered space
- Monotone Lindelöf property
- Separability
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Cite this
Bennett, H., Lutzer, D., & Matveev, M. (2005). The monotone Lindelöf property and separability in ordered spaces. Topology and its Applications, 151(1-3 SPEC. ISS.), 180-186. https://doi.org/10.1016/j.topol.2004.05.015