We prove that for every separable, O-dimensional me&able space X without isolated points, such that every compact subset of it is scattered, the cocompact topology on the hyperspace of X does not coincide with the upper Kuratowski topology-that is, X is dissonant. In particular, it follows that the
✦ LIBER ✦
On the ω-problem for some types of non-metrizable spaces
✍ Scribed by S.P. Ponomarev; S. Kowalczyk
- Book ID
- 108286620
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 189 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0166-8641
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