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Ramsey’s theorem and products in the Weihrauch degrees. (English) Zbl 07271557
Summary: We study the positions in the Weihrauch lattice of parallel products of various combinatorial principles related to Ramsey’s theorem. Among other results, we obtain an answer to a question of Brattka, by showing that Ramsey’s theorem for pairs $$(\mathsf{RT}_2^2)$$ is Weihrauch-incomparable to the parallel product of the stable Ramsey’s theorem for pairs and the cohesive principle $$(\mathsf{SRT}_2^2 \times \mathsf{COH})$$.
##### MSC:
 03D Computability and recursion theory
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