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Supercompactness of compact metric spaces

✍ Scribed by Joel L. O'Connor

Publisher
Elsevier Science
Year
1970
Weight
291 KB
Volume
73
Category
Article
ISSN
1385-7258

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πŸ“œ SIMILAR VOLUMES

Not all compact Hausdorff spaces are sup
Not all compact Hausdorff spaces are supercompact
✍ Murray G. Bell πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science βš– 543 KB

De Groojt and 'Verbeek have both asked for an example of a compact Hausdorff space which is not supercompact. It is shown here that if X is nor pseudocompact! then fiX is not supercompact. It is done in the more general setting of Wallman compactificatiom!~.

Open subspaces of locally compact metric
Open subspaces of locally compact metric spaces
✍ Mark Mandelkern πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 183 KB

## Abstract Although classically every open subspace of a locally compact space is also locally compact, constructively this is not generally true. This paper provides a locally compact remetrization for an open set in a compact metric space and constructs a one‐point compactification. MSC: 54D45,