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arXiv · 2306.07827

Box Ramsey and Canonical Colourings

Keegan Dasilva Barbosa
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Abstract

This paper introduces the concept of a productive notion of big Ramsey degree and showcases its versatility through a handful of applications. The main focus is notably providing sufficient conditions for the existence of a finite canonical basis of equivalence relations, building upon the prior work of Laflamme, Sauer, and Vuksanovic. Additionally, a combinatorial analysis of indexed structures is conducted.

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Keegan Dasilva Barbosa. 2023-06-13. Box Ramsey and Canonical Colourings. https://arxiv.org/abs/2306.07827

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