A dichotomy for P-ideals of countable sets
Volume 166 / 2000
Fundamenta Mathematicae 166 (2000), 251-267
DOI: 10.4064/fm-166-3-251-267
Abstract
A dichotomy concerning ideals of countable subsets of some set is introduced and proved compatible with the Continuum Hypothesis. The dichotomy has influence not only on the Suslin Hypothesis or the structure of Hausdorff gaps in the quotient algebra $P(\mathbb{N})$/ but also on some higher order statements like for example the existence of Jensen square sequences.
