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Ordered Spaces all of whose Continuous Images are Normal

Fleissner, William G.
; 
Levy, Ronnie
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Abstract
Some spaces, such as compact Hausdorff spaces, have the property that every regular continuous image is normal. In this paper, we look at such spaces. In particular, it is shown that if a normal space has finite Stone-Cech remainder, then every continuous image is normal. A consequence is that every continuous image of a Dedekind complete linearly ordered topological space of uncountable cofinality and coinitiality is normal. The normality of continuous images of other ordered spaces is also discussed.
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This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1989-0973846-4. First published in Proc. AMS. in 1989, published by the American Mathematical Society.
Date
1989-01-01
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American Mathematical Society
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Mathematics Scholarly Works
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Fleissner, William G. & Levy, Ronnie. "Ordered Spaces all of whose Continuous Images are Normal." Proc. AMS. (1989) 105, 1. 231-235. http://dx.doi.org/10.1090/S0002-9939-1989-0973846-4.
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https://hdl.handle.net/1808/16733
DOI
10.1090/S0002-9939-1989-0973846-4
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