Abstract
In this paper we study the role of Stepanova's continuous separating families in the class of linearly ordered and generalized ordered spaces and we construct examples of paracompact spaces that have strong base properties (such as point-countable bases or σ-disjoint bases), have continuous separating families, and yet are non-metrizable.
| Original language | English |
|---|---|
| Pages (from-to) | 305-314 |
| Number of pages | 10 |
| Journal | Topology and its Applications |
| Volume | 119 |
| Issue number | 3 |
| DOIs | |
| State | Published - Apr 30 2002 |
Keywords
- Continuous separating family
- G- diagonal
- Generalized ordered space
- Linearly ordered topological space
- Metrization
- Michael line
- Point-countable base
- Sorgenfrey line
- σ-disjoint base