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arXiv · 1510.03287

A general tool for consistency results related to I1

Vincenzo Dimonte·Liuzhen Wu
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Abstract

In this paper we provide a general tool to prove the consistency of $I1(λ)$ with various combinatorial properties at $λ$ typical at settings with $2^λ>λ^+$, that does not need a profound knowledge of the forcing notions involved. Examples of such properties are the first failure of GCH, a very good scale and the negation of the approachability property, or the tree property at $λ^+$ and $λ^{++}$.

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Vincenzo Dimonte, Liuzhen Wu. 2015-10-12. A general tool for consistency results related to I1. https://arxiv.org/abs/1510.03287

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