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ArticleOriginal scientific text

Title

Partition properties of ω1 compatible with CH

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics, Ben Gurion University, Beer Sheva, Israel
  2. Department of Mathematics, University of Toronto, Toronto, Canada M5S 3G3
  3. Matematicki Institut, Kneza Mihaila 35, 11000 Beograd, Yugoslavia

Abstract

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.

Bibliography

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Fundamenta Mathematicae
1997/152/2
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Pages:
165-181
Main language of publication
English
Received
1996-06-30
Published
1997
Exact and natural sciences