Abstract
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.
Original language | English |
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Pages (from-to) | 165-181 |
Number of pages | 17 |
Journal | Fundamenta Mathematicae |
Volume | 152 |
Issue number | 2 |
State | Published - 1 Jan 1997 |
ASJC Scopus subject areas
- Algebra and Number Theory