Generalizations of free set, thin set, and rainbow Ramsey theorems to barriers are proved, with computability bounds and reverse mathematics results.
Dzhafarov and Carl Mummert,Reverse Mathematics: Problems, Reductions, and Proofs, Theory and Applications of Computability, Springer International Publishing, Cham, 2022 (en)
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Free sets, thin sets and rainbows for barriers
Generalizations of free set, thin set, and rainbow Ramsey theorems to barriers are proved, with computability bounds and reverse mathematics results.