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Internal consistency for embedding complexity

Published online by Cambridge University Press:  12 March 2014

Sy-David Friedman  and
Catherine Thompson
Sy-David Friedman
Affiliation:
Kurt Gödel Research Center for Mathematical Logic, Währingerstrasse 25, A-1090 Wien, Austria, E-mail: sdf@logic.univie.ac.at
Catherine Thompson
Affiliation:
Kurt Gödel Research Center for Mathematical Logic, Währingerstrasse 25, A-1090 Wien, Austria, E-mail: aleph_nought@yahoo.com
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Abstract

In a previous paper with M. Džamonja, class forcings were given which fixed the complexity (a universality covering number) for certain types of structures of size λ together with the value of 2λ for every regular λ. As part of a programme for examining when such global results can be true in an inner model, we build generics for these class forcings.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 3 , September 2008 , pp. 831 - 844
Copyright
Copyright © Association for Symbolic Logic 2008

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References

REFERENCES

[1]Beller, A., Jensen, R., and Welch, P., Coding the universe, London Mathematical Society Lecture Note Series, vol. 47, Cambridge University Press, Cambridge-New York, 1982.CrossRefGoogle Scholar
[2]Dobrinen, N. and Friedman, S., Internal consistency and co-stationarity of the ground model, this Journal, vol. 73 (2008), no. 2, pp. 512–521.Google Scholar
[3]Džamonja, M., Friedman, S., and Thompson, K., Global complexity results, Set theory: Recent trends and applications (Andretta, A., editor), Quaderni di Matematica, vol. 17, 2007, Seconda Universita di Napoli, pp. 25–45.Google Scholar
[4]Easton, W. B., Powers of regular cardinals, Annals of Mathematical Logic, vol. 1 (1970), pp. 139–178.CrossRefGoogle Scholar
[5]Friedman, S., Fine structure and class forcing, de Gruyter, 2000.CrossRefGoogle Scholar
[6]Friedman, S., Internal consistency and the inner model hypothesis, The Bulletin of Symbolic Logic, vol. 12 (2006), no. 4, pp. 591–600.CrossRefGoogle Scholar
[7]Friedman, S. and Ondrejović, P., Internal consistency of Easton's theorem, submitted, http://www.logic.univie.ac.at/~sdf/papers/.Google Scholar
[8]Friedman, S. and Thompson, K., Perfect trees and elementary embeddings, this Journal, vol. 73, no. 3, pp. 906–918.Google Scholar
[9]Komjáth, P. and Shelah, S., Universal graphs without large cliques, Journal of Combinatorial Theory, vol. 63 (1995), no. 1, pp. 125–135.CrossRefGoogle Scholar