# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## Compact scattered spaces in forcing extensions

### Tom 185 / 2005

Fundamenta Mathematicae 185 (2005), 261-266 MSC: Primary 54G12; Secondary 03E35. DOI: 10.4064/fm185-3-4

#### Streszczenie

We consider the cardinal sequences of compact scattered spaces in models where CH is false. We describe a number of models of $2^{\aleph_0} = \aleph_2$ in which no such space can have $\aleph_2$ countable levels.

#### Autorzy

• Kenneth KunenDepartment of Mathematics
University of Wisconsin