NDLI: Ordered Spaces all of Whose Continuous Images are Normal

Content Provider	Scilit
Author	Fleissner, William Levy, Ronnie
Copyright Year	1989
Description	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-Čech 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.
Related Links	http://www.ams.org/proc/1989-105-01/S0002-9939-1989-0973846-4/S0002-9939-1989-0973846-4.pdf
Ending Page	235
Page Count	5
Starting Page	231
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2046761
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	105
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	History and Philosophy of Science Logic Ordered Spaces Continuous Images Are Normal Spaces All of Whose Continuous
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Ordered Spaces all of Whose Continuous Images are Normal