Adding a lot of random reals by adding a few
نویسندگان
چکیده
منابع مشابه
Adding a Lot of Random Reals by Adding a Few
We study pairs (V, V1) of models of ZFC such that adding κ-many random reals over V1 adds λ-many random reals over V , for some λ > κ.
متن کاملAdding a Lot of Cohen Reals by Adding a Few
A basic fact about Cohen reals is that adding λ Cohen reals cannot produce more than λ of Cohen reals. More precisely, if 〈rα|α < λ〉 are λ-Cohen generic reals over V , then in V [〈rα|α < λ〉] there is no λ -Cohen generic real over V . But if instead of dealing with one universe V we consider two, then the above may no longer be true. The purpose of this paper is to produce models V1 ⊆ V2 such th...
متن کاملAdding a Lot of Cohen Reals by Adding a Few I
In this paper we produce models V1 ⊆ V2 of set theory such that adding κ−many Cohen reals to V2 adds λ−many Cohen reals to V1, for some λ > κ. We deal mainly with the case when V1 and V2 have the same cardinals.
متن کاملAdding a Lot of Cohen Reals by Adding a Few Ii
We study pairs (V, V1), V ⊆ V1, of models of ZFC such that adding κ−many Cohen reals over V1 adds λ−many Cohen reals over V for some λ > κ.
متن کاملAdding One Random Real
We study the cardinal invariants of measure and category after adding one random real. In particular, we show that the number of measure zero subsets of the plane which are necessary to cover graphs of all continuous functions maybe large while the covering for measure is small.
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2018
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm437-7-2017