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A model for a very good scale and a bad scale
Published online by Cambridge University Press: 12 March 2014
Abstract
Given a supercompact cardinal κ and a regular cardinal λ < κ, we describe a type of forcing such that in the generic extension the cofinality of κ is λ, there is a very good scale at κ, a bad scale at κ, and SCH at κ fails. When creating our model we have great freedom in assigning the value of 2κ, and so we can make SCH hold or fail arbitrarily badly.
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- Copyright © Association for Symbolic Logic 2008
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