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 |
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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