The power set of ω Elementary submodels and weakenings of CH
István Juhász ; Kenneth Kunen
Fundamenta Mathematicae, Tome 167 (2001), p. 257-265 / Harvested from The Polish Digital Mathematics Library
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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 (ω), and the (ℵ₁,ℵ₀)-ideal property. SEP implies the principle C₂s(ω₂), but does not follow from C₂s(ω₂), or even Cs(ω₂).

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:283050 
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     title = {The power set of $\omega$ Elementary submodels and weakenings of CH},
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     year = {2001},
     pages = {257-265},
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István Juhász; Kenneth Kunen. The power set of ω Elementary submodels and weakenings of CH. Fundamenta Mathematicae, Tome 167 (2001) pp. 257-265. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm170-3-4/