Geodesic
Partition properties of $ω_1$ compatible with CH
Fundamenta Mathematicae, Tome 152 (1997) no. 2, pp. 165-181.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-152-2-165-181

Uri Abraham 1 ; Stevo Todorčević 1

1 
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Uri  Abraham; Stevo  Todorčević. Partition properties of $ω_1$ compatible with CH. Fundamenta Mathematicae, Tome 152 (1997) no. 2, pp. 165-181. doi : 10.4064/fm-152-2-165-181. http://geodesic.mathdoc.fr/articles/10.4064/fm-152-2-165-181/

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