The tree property and the failure of SCH at uncountable cofinality

Archive for Mathematical Logic 51 (5-6):553-562 (2012)

Abstract
Given a regular cardinal λ and λ many supercompact cardinals, we describe a type of forcing such that in the generic extension there is a cardinal κ with cofinality λ, the Singular Cardinal Hypothesis at κ fails, and the tree property holds at κ +
Keywords Singular cardinal hypothesis  Tree property  Supercompact cardinals
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DOI 10.1007/s00153-012-0281-z
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