Compact scattered spaces in forcing extensions
Volume 185 / 2005
Fundamenta Mathematicae 185 (2005), 261-266
MSC: Primary 54G12; Secondary 03E35.
DOI: 10.4064/fm185-3-4
Abstract
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.
