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arXiv · 1611.01756

Amenable colorings

Shimon Garti
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Abstract

Let $\kappa$ be any regular cardinal. Assuming the existence of a huge cardinal above $\kappa$, we prove the consistency of $\binom{\kappa^{++}}{\kappa^+}\rightarrow\binom{\tau}{\kappa^+}$ for every ordinal $\tau<\kappa^{++}$. Likewise, we prove a full amenable relation for $(\aleph_2,\aleph_1)$ with respect to collections which are strongly closed under countable intersections.

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Shimon Garti. 2016-11-06. Amenable colorings. https://doi.org/10.1007/s40879-016-0125-1

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