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arXiv · 1603.06695

Phase transition results for three Ramsey-like theorems

Florian Pelupessy
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Abstract

We classify a sharp phase transition threshold for Friedman's finite adjacent Ramsey theorem. We extend the method for showing this result to two previously known classifications involving Ramsey theorem variants: the Paris--Harrington theorem and the Kanamori--McAloon theorem. We also provide tools to remove ad-hoc arguments from the proofs of phase transition results as much as currently possible.

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Florian Pelupessy. 2016-03-22. Phase transition results for three Ramsey-like theorems. https://doi.org/10.1215/00294527-3452807

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