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Adjoining dominating functions

Published online by Cambridge University Press:  12 March 2014

James E. Baumgartner  and
Peter Dordal
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Abstract

If dominating functions in ωω are adjoined repeatedly over a model of GCH via a finite-support c.c.c. iteration, then in the resulting generic extension there are no long towers, every well-ordered unbounded family of increasing functions is a scale, and the splitting number (and hence the distributivity number ) remains at ω1.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 1 , March 1985 , pp. 94 - 101
Copyright
Copyright © Association for Symbolic Logic 1985

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References

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