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December 2008 A model for a very good scale and a bad scale
Dima Sinapova
J. Symbolic Logic 73(4): 1361-1372 (December 2008). DOI: 10.2178/jsl/1230396925

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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Dima Sinapova. "A model for a very good scale and a bad scale." J. Symbolic Logic 73 (4) 1361 - 1372, December 2008. https://doi.org/10.2178/jsl/1230396925

Information

Published: December 2008
First available in Project Euclid: 27 December 2008

zbMATH: 1156.03045
MathSciNet: MR2467223
Digital Object Identifier: 10.2178/jsl/1230396925

Rights: Copyright © 2008 Association for Symbolic Logic

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Vol.73 • No. 4 • December 2008
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