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Monotone normality and compactness

โœ Scribed by Mary Ellen Rudin


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
326 KB
Volume
74
Category
Article
ISSN
0166-8641

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โœฆ Synopsis


A locally compact monotonically normal space having no compacfification which is monotonically normal is given as well as a consistent example of a compact Kl-space which is not Ko.


๐Ÿ“œ SIMILAR VOLUMES


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We show that a compact Hausdorff, hereditarily Lindelof, monolithic, monotonically normal space has a monolithic hyperspace. This generalises a result of M. Bell for ordered spaces. A consistent example of a nonmonotonically normal space with a monolithic hyperspace is given. We also show that every