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A new inner model for ZFC

Published online by Cambridge University Press:  12 March 2014

Wlodzimierz Zadrozny
Wlodzimierz Zadrozny*
Affiliation:
Technical University, Wroclaw, Poland Pennsylvania State University, University Park, Pennsylvania 16802
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Abstract

Assume (∃κ) [κ → (κ)<ω & Rκ ≺ V]. Then a new inner model H exists and has the following properties: (1) H ≠ HOD; (2) Th(H) = Th(HOD); (3) there is j: H → H; (4) there is a c.u.b. class of indiscernibles for H.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 46 , Issue 2 , June 1981 , pp. 393 - 396
Copyright
Copyright © Association for Symbolic Logic 1981

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References

REFERENCES

[1]Drake, F., Set theory, North-Holland, Amsterdam, 1974.Google Scholar
[2]Kunen, K., Elementary embeddings and infinitary combinatorics, this Journal, vol. 36 (1971), pp. 407–413.Google Scholar
[3]Kunen, K. and Paris, J., Boolean extensions and measurable cardinals, Annals of Mathematical Logic, vol. 2 (1971), pp. 259–279.CrossRefGoogle Scholar