## Abstract

A combinatorial statement concerning ideals of countable subsets of ω_{1} is introduced and proved to be consistent with the Continuum Hypothesis. This statement implies the Suslin Hypothesis, that all (ω_{1},ω*_{1})-gaps are Hausdorff, and that every coherent sequence on ω_{1} either almost includes or is orthogonal to some uncountable subset of ω_{1}.

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

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