Abstract
We show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2 אN0)V levels of size ω. We also give a complete ZFC characterization of the cardinal sequences of regular scattered spaces. Although the classes of regular and of 0-dimensional scattered spaces are different, we prove that they have the same cardinal sequences.
Original language | English |
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Pages (from-to) | 75-88 |
Number of pages | 14 |
Journal | Fundamenta Mathematicae |
Volume | 181 |
Issue number | 1 |
DOIs | |
State | Published - 2004 |
Keywords
- 0-dimensional
- Cardinal sequence
- Cohen reals
- Locally compact scattered space
- Regular space
- Superatomic Boolean algebra