Abstract
A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of compact ordered spaces.
Original language | English |
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Pages (from-to) | 375-411 |
Number of pages | 37 |
Journal | Topology and its Applications |
Volume | 155 |
Issue number | 5 |
DOIs | |
State | Published - 15 Jan 2008 |
Keywords
- Compact orderable spaces
- Continuous images
- Scattered spaces
- Superatomic Boolean algebras
ASJC Scopus subject areas
- Geometry and Topology