Monotone normality and compactness
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
The article surveys recent developments on monotone normality in the context of classical theory. Particular results concern protometrisable, elastic and well ordered (F) spaces, cardinal invariants and compactifications, Borges normal spaces and the extension of continuous functions, Gartside's p-p
We give a proof that every compact, hereditarily paracompact, monotonically normal space is the continuous image of a compact linearly ordered space.
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