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A model for a very good scale and a bad scale

Published online by Cambridge University Press:  12 March 2014

Dima Sinapova
Dima Sinapova*
Affiliation:
Department of Mathematics, University of Californiaat Los Angeles, Los Angeles, CA 90095-1555, USA, E-mail: sinapova@math.ucla.edu
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 4 , December 2008 , pp. 1361 - 1372
Copyright
Copyright © Association for Symbolic Logic 2008

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References

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