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The consistency strength of successive cardinals with the tree property

Published online by Cambridge University Press:  12 March 2014

Matthew Foreman ,
Menachem Magidor  and
Ralf-Dieter Schindler
Matthew Foreman
Affiliation:
Department of Mathematics, University of California at Irvine, Irvine, California 92697, USA, E-Mail: mforeman@math.uci.edu
Menachem Magidor
Affiliation:
Institue of Mathematics, Hebrew University, Jerusalem 91904, Israel, E-Mail: menachem@math.huji.ac.il
Ralf-Dieter Schindler
Affiliation:
Department of Mathematics, University of California at Berkeley, Berkeley California 94720, USA Institut Für Formale Logik, Universitaet Wien, 1090 Wien, Austria, E-Mail: rds@logic.univie.ac.at
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Abstract.

If ωn has the tree property for all 2 ≤ n < ω and , then for all and n < ω. Mnt(X) exists.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 4 , December 2001 , pp. 1837 - 1847
Copyright
Copyright © Association for Symbolic Logic 2001

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References

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