RT₂² does not imply WKL₀

Journal of Symbolic Logic 77 (2):609-620 (2012)
Abstract
We prove that RCA₀ + RT $RT\begin{array}{*{20}{c}} 2 \\ 2 \\ \end{array} $ ̸͢ WKL₀ by showing that for any set C not of PA-degree and any set A, there exists an infinite subset G of A or ̅Α, such that G ⊕ C is also not of PA-degree
Keywords recursion theory   computability theory   reverse mathematics   Ramsey's theorem   weak Konig lemma   Mathias forcing
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Citations of this work BETA
Wei Wang (2014). Cohesive Sets and Rainbows. Annals of Pure and Applied Logic 165 (2):389-408.
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