✦ LIBER ✦
Strongly exactly n-resolvable spaces of arbitrarily large dispersion character
✍ Scribed by Li Feng
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 69 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0166-8641
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✦ Synopsis
A topological space X is called strongly exactly n-resolvable if X is n-resolvable and no nonempty subset of X is (n+1)-resolvable. We prove that, in ZFC, for every infinite cardinal α and every integer n > 0, there exist card-homogeneous, strongly exactly n-resolvable Tychonoff spaces of dispersion character α. This result answers affirmatively two questions of F. Eckertson (1997, Questions 2.7 and 4.5).