论文标题

递归着色功能,没有$π_3^0 $ for Hindman定理的解决方案

A recursive coloring function without $Π_3^0$ solution for Hindman theorem

论文作者

Liao, Yuke

论文摘要

我们证明存在递归着色函数$ c $,因此任何$π^0_3 $设置都不是Hindman定理的$ C $的解决方案。我们还表明,存在一个递归着色函数$ c $,因此任何$δ^0_3 $ set s n n n os to Thrim of Thrimest Indiment Inderem besh n of The of The of Thrim toss的总和最多限制了Hindman定理的解决方案。

We show that there exists a recursive coloring function $c$ such that any $Π^0_3$ set is not a solution to $c$ for Hindman's theorem. We also show that there exists a recursive coloring function $c$ such that any $Δ^0_3$ set is not a solution to $c$ for Hindman's theorem restricted on sum of at most three numbers.

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