%0 Journal Article
%T A general tool for consistency results related to I1
%A Vincenzo Dimonte
%A Liuzhen Wu
%J Mathematics
%D 2015
%I arXiv
%X In this paper we provide a general tool to prove the consistency of $I1(\lambda)$ with various combinatorial properties at $\lambda$ typical at settings with $2^\lambda>\lambda^+$, 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 $\lambda^+$ and $\lambda^{++}$.
%U http://arxiv.org/abs/1510.03287v1