The power set of ω Elementary submodels and weakenings of CH
Fundamenta Mathematicae (2001)
- Volume: 170, Issue: 3, page 257-265
- ISSN: 0016-2736
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topIstván Juhász, and Kenneth Kunen. "The power set of ω Elementary submodels and weakenings of CH." Fundamenta Mathematicae 170.3 (2001): 257-265. <http://eudml.org/doc/283050>.
@article{IstvánJuhász2001,
abstract = {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 $C₂^\{s\}(ω₂)$, but does not follow from $C₂^\{s\}(ω₂)$, or even $C^\{s\}(ω₂)$.},
author = {István Juhász, Kenneth Kunen},
journal = {Fundamenta Mathematicae},
keywords = {continuum hypothesis; Cohen extensions; weak Freeze-Nation property},
language = {eng},
number = {3},
pages = {257-265},
title = {The power set of ω Elementary submodels and weakenings of CH},
url = {http://eudml.org/doc/283050},
volume = {170},
year = {2001},
}
TY - JOUR
AU - István Juhász
AU - Kenneth Kunen
TI - The power set of ω Elementary submodels and weakenings of CH
JO - Fundamenta Mathematicae
PY - 2001
VL - 170
IS - 3
SP - 257
EP - 265
AB - 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 $C₂^{s}(ω₂)$, but does not follow from $C₂^{s}(ω₂)$, or even $C^{s}(ω₂)$.
LA - eng
KW - continuum hypothesis; Cohen extensions; weak Freeze-Nation property
UR - http://eudml.org/doc/283050
ER -
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