Dense non-reflection for stationary collections of countable sets
نویسندگان
چکیده
منابع مشابه
Dense non-reflection for stationary collections of countable sets
We present several forcing posets for adding a non-reflecting stationary subset of Pω1 (λ), where λ ≥ ω2. We prove that PFA is consistent with dense non-reflection in Pω1 (λ), which means that every stationary subset of Pω1 (λ) contains a stationary subset which does not reflect to any set of size א1. If λ is singular with countable cofinality, then dense non-reflection in Pω1 (λ) follows from ...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2009
ISSN: 0168-0072
DOI: 10.1016/j.apal.2009.06.002