Abstract
In this paper we characterize generalized ordered spaces that are metrizably fibered in terms of certain quotient spaces and in terms of the existence of special open covers. We apply our results to give a new characterization of perfect generalized ordered spaces that have a σ-closed-discrete dense subset and to give examples of GO-spaces that are, or are not, metrizably fibered.
Original language | English |
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Pages (from-to) | 283-290 |
Number of pages | 8 |
Journal | Topology and its Applications |
Volume | 130 |
Issue number | 3 |
DOIs | |
State | Published - May 15 2003 |
Keywords
- Big Bush
- GO-space
- Generalized ordered space
- LOTS
- Linearly ordered space
- Metrizably fibered
- Perfect space
- Souslin line
- σ-closed-discrete dense set