Cardinal inveriants associated with predictors II

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概要

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• We call a function from omega<SUP><omega</SUP> to ω a predictor. A function f∈omega<SUP>omega</SUP> is said to be constantly predicted by a predictor π, if there is an n<omega such that ∀ i<omega∃ j∈[i, i+n) (f(j)=π(f↑ j)). Let θ<SUB>omega</SUB> denote the smallest size of a set ¶hi of predictors such that every f∈omega<SUP>omega</SUP> can be constantly predicted by some predictor in ¶hi. In [{7}], we showed that θ<SUB>omega</SUB> may be greater than cof(\mathscr{N}). In the present paper, we will prove that θ<SUB>omega</SUB> may be smaller than \bm{d}.

• 社団法人 日本数学会の論文

著者

• Kamo Shizuo

  Department Of Math. University Of Osaka Prefecture

関連論文

• Cardinal inveriants associated with predictors II
• Ineffability and partition property on 〓κλ

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