Partition properties of ω1 compatible with CH

• Autorzy: Uri Abraham , Stevo Todorčević
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E50: Continuum hypothesis and Martin's axiom
• 54A35: Consistency and independence results
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1997
• Tom: 152
• Numer: 2
• Strony: 165-181

Daty

wydano

1997

otrzymano

1996-06-30

Twórcy

autor

Uri Abraham

• Department of Mathematics, Ben Gurion University, Beer Sheva, Israel,

autor

Stevo Todorčević

• Department of Mathematics, University of Toronto, Toronto, Canada M5S 3G3,
• Matematicki Institut, Kneza Mihaila 35, 11000 Beograd, Yugoslavia

Bibliografia

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