In thiqpaper it is shown that if X is a connected space which is not pesuJocompact, then @X is not mov#ble and does not have metric shape. In particular /3X cannot hzde trivial shape. It is also shown tdar if X is Linda liif and K c /3X --' X is a continuum, then K cannot be movable or have metric s
✦ LIBER ✦
Distinctive properties of Stone-Čech compactifications
✍ Scribed by Meyer Jerison; Jerrold Siegel; Stephen Weingram
- Book ID
- 107864966
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 468 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0040-9383
No coin nor oath required. For personal study only.
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The Stone-Ä Cech compactiÿcation of a locale L is shown to be obtained constructively by taking the Lindenbaum locale of the theory of almost prime completely regular ÿlters on L. Modifying the theory by replacing the completely below relation by the strongly below relation yields instead the compac