The power set of ω Elementary submodels and weakenings of CH

• Autorzy: István Juhász , Kenneth Kunen
• Języki publikacji: EN

Abstrakty

EN

We define a new principle, SEP, which is true in all Cohen extensions of models of CH, and explore the relationship between SEP and other such principles. SEP is implied by each of CH*, the weak Freeze-Nation property of 𝓟(ω), and the (ℵ₁,ℵ₀)-ideal property. SEP implies the principle $C₂^{s}(ω₂)$, but does not follow from $C₂^{s}(ω₂)$, or even $C^{s}(ω₂)$.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 170
• Numer: 3
• Strony: 257-265

Daty

wydano

2001

Twórcy

autor

István Juhász

• Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, P.O. Box 127, H-1364 Budapest, Hungary

autor

Kenneth Kunen

• Department of Mathematics, University of Wisconsin, Madison, WI 53706, U.S.A.

Identyfikatory

DOI

10.4064/fm170-3-4