A classification of CO spaces which are continuous images of compact ordered spaces |
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| Authors: | Robert Bonnet Matatyahu Rubin |
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| Affiliation: | a Laboratoire de Mathématiques, CNRS-UMR-5127, Université de Savoie, Chambéry, France
b Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel |
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| 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. |
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| Keywords: | primary, 54G12, 54F05 secondary, 03G05, 03E10 |
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