Mitchell's Theorem Revisited

Thomas Gilton; John Krueger

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arXiv · 1506.01983

Mitchell's Theorem Revisited

Thomas Gilton·John Krueger

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Abstract

Mitchell's theorem on the approachability ideal states that it is consistent relative to a greatly Mahlo cardinal that there is no stationary subset of $\omega_2 \cap \mathrm{cof}(\omega_1)$ in the approachability ideal $I[\omega_2]$. In this paper we give a new proof of Mitchell's theorem, deriving it from an abstract framework of side condition methods.

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BibTeX RIS

Thomas Gilton, John Krueger. 2015-06-05. Mitchell's Theorem Revisited. https://arxiv.org/abs/1506.01983

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