Decisive creatures and large continuum
نویسندگان
چکیده
منابع مشابه
Decisive creatures and large continuum
A. For f > g ∈ ω let c∀f ,g be the minimal number of uniform trees with g-splitting needed to ∀-cover the uniform tree with f -splitting. c∃f ,g is the dual notion for the ∃ cover. Assuming CH and given א1 many (sufficiently different) pairs ( f2 , g2 ) and cardinals κ2 such that κ0 2 = κ2 , we construct a partial order forcing that c∃f2 ,g2 = c ∀ f2 ,g2 = κ2 . For this, we introduce a c...
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be the minimal number of uniform trees with g-splitting needed to ∀ ∞-cover a uniform tree with f-splitting. c ∃ f ,g is the dual notion for the ∃ ∞-cover. Assuming CH and given ℵ 1 many (sufficiently different) pairs (f ǫ , g ǫ) and cardinals κ ǫ such that κ ℵ 0 ǫ = κ ǫ , we construct a partial order forcing that c ∃ fǫ ,gǫ = c ∀ fǫ ,gǫ = κ ǫ. For this, we introduce a countable support semipro...
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 2009
ISSN: 0022-4812,1943-5886
DOI: 10.2178/jsl/1231082303