Partition properties of ω1 compatible with CH
Uri Abraham, Stevo Todorčević (1997)
Fundamenta Mathematicae
Similarity:
A combinatorial statement concerning ideals of countable subsets of ω is introduced and proved to be consistent with the Continuum Hypothesis. This statement implies the Suslin Hypothesis, that all (ω, ω*)-gaps are Hausdorff, and that every coherent sequence on ω either almost includes or is orthogonal to some uncountable subset of ω.