Cross-constraint basis theorems and products of partitions

Julien Cervelle; William Gaudelier; Ludovic Levy Patey

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arXiv · 2407.02206

Cross-constraint basis theorems and products of partitions

Julien Cervelle·William Gaudelier·Ludovic Levy Patey

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Abstract

We both survey and extend a new technique from Lu Liu to prove separation theorems between products of Ramsey-type theorems over computable reducibility. We use this technique to show that Ramsey's theorem for $n$-tuples and three colors is not computably reducible to finite products of Ramsey's theorem for $n$-tuples and two colors.

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BibTeX RIS

Julien Cervelle, William Gaudelier, Ludovic Levy Patey. 2024-07-02. Cross-constraint basis theorems and products of partitions. https://arxiv.org/abs/2407.02206

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