A combinatorial statement concerning ideals of countable subsets of ω1 is introduced and proved to be consistent with the Continuum Hypothesis. This statement implies the Suslin Hypothesis, that all (ω1,ω*1)-gaps are Hausdorff, and that every coherent sequence on ω1 either almost includes or is orthogonal to some uncountable subset of ω1.
|Number of pages||17|
|State||Published - 1 Jan 1997|
ASJC Scopus subject areas
- Algebra and Number Theory