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.
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.
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