Partition properties of ω1 compatible with CH

Uri Abraham, Stevo Todorčević

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

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 languageEnglish
Pages (from-to)165-181
Number of pages17
JournalFundamenta Mathematicae
Volume152
Issue number2
StatePublished - 1 Jan 1997

ASJC Scopus subject areas

  • Algebra and Number Theory

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