More on the indivisibility of $\mathbb{Q}$

Arno Pauly

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arXiv · 2407.03722

More on the indivisibility of $\mathbb{Q}$

Arno Pauly

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Abstract

We study the complexity of the computational task ``Given a colouring $c : \mathbb{Q} \to \mathbf{k}$, find a monochromatic $S \subseteq \mathbb{Q}$ such that $(S,<) \cong (\mathbb{Q},<)$''. The framework is Weihrauch reducibility. Our results answer some open questions recently raised by Gill, and by Dzhafarov, Solomon and Valenti.

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Arno Pauly. 2024-07-04. More on the indivisibility of $\mathbb{Q}$. https://arxiv.org/abs/2407.03722

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