In this paper we provide a general tool to prove the consistency of with various combinatorial properties at λ typical at settings with 2λ>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++.
A general tool for consistency results related to I1
DIMONTE, Vincenzo;
2016-01-01
Abstract
In this paper we provide a general tool to prove the consistency of with various combinatorial properties at λ typical at settings with 2λ>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++.File in questo prodotto:
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GeneralTool second draft.pdf
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Dimonte-Wu2016_Article_AGeneralToolForConsistencyResu.pdf
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