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An inner model for global domination

Published online by Cambridge University Press:  12 March 2014

Sy-David Friedman  and
Katherine Thompson
Sy-David Friedman
Affiliation:
Kurt Gödel Research Center, Währingerstraße 25, A-1090 Wien, Austria, E-mail: sdf@logic.univie.ac.at
Katherine Thompson
Affiliation:
Kurt Gödel Research Center, Währingerstraße 25, A-1090 Wien, Austria, E-mail: thompson@logic.univie.ac.at
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Abstract

In this paper it is shown that the global statement that the dominating number for κ is less than 2κ for all regular κ, is internally consistent, given the existence of 0#. The possible range of values for the dominating number for κ and 2κ which may be simultaneously true in an inner model is also explored.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 74 , Issue 1 , March 2009 , pp. 251 - 264
Copyright
Copyright © Association for Symbolic Logic 2009

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References

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