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Evasion and prediction III Constant prediction and dominating reals

机译:逃避与预测III持续的预测与主导实数

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摘要

We prove that b ≤ c_2~(const) where b is as usual the unbounding number, and c_2~(const) is the constant prediction number, that is, the size of the least family ∏ of functions π: 2~(<ω) →2 such that for each x ∈ 2~ω there are π ∈ ∏ and κ such that for almost all intervals / of length k, one has π(x / i) = x(i) for some i ∈ I. This answers a question of Kamo. We also include some related results.
机译:我们证明b≤c_2〜(const)其中b是通常的无界数,而c_2〜(const)是常数预测数,即,函数π的最小族∏的大小:2〜(<ω )→2使得对于每个x∈2〜ω都有π∈∏和κ使得对于几乎所有长度为k的间隔/,对于某些i∈I来说π(x / i)= x(i)。回答了Kamo的问题。我们还包括一些相关结果。

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