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Possible behaviours for the Mitchell ordering II

Published online by Cambridge University Press:  12 March 2014

James Cummings*
Affiliation:
Institute of Mathematics, Hebrew University, Givat Ram, 91904 Jerusalem, Israel, E-mail: [email protected]

Abstract

We analyse the Mitchell ordering in a model where κ is -hypermeasurable and > .

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1994

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References

REFERENCES

[1]Baumgartner, J. E., Iterated forcing, Surveys in set theory, Cambridge University Press, Cambridge, 1983, pp. 155.Google Scholar
[2]Cummings, J., A model in which GCH holds at successors hut fails at limits, Transactions of the American Mathematical Society, vol. 329 (1992), pp. 139.CrossRefGoogle Scholar
[3]Cummings, J., Possible behaviours for the Mitchell ordering I, Annals of Pure and Applied Logic, vol. 65 (1993), pp. 107123.CrossRefGoogle Scholar
[4]Cummings, J., Strong ultrapowers and long core models, this Journal, vol. 58 (1993), pp. 240248.Google Scholar
[5]Koepke, P., An introduction to extenders and core models for extender sequences, Logic Colloquium '87, North-Holland, Amsterdam, 1989, pp. 137182.Google Scholar
[6]Martin, D. and Steel, J., Iteration trees, Journal of the American Mathematical Society, vol. 7 (1994), pp. 173.CrossRefGoogle Scholar
[7]Mitchell, W., Sets constructible from sequences of ultrafilters, this Journal, vol. 39 (1974), pp. 5766.Google Scholar
[8]Mitchell, W., Hypermeasurable cardinals, Logic Colloquium '78, North-Holland, Amsterdam, 1979, pp. 303316.Google Scholar
[9]Solovay, , Reinhardt, , and Kanamori, , Strong axioms of infinity and elementary embeddings, Annals of Mathematical Logic, vol. 13 (1978), pp. 73116.CrossRefGoogle Scholar
[10]Solovey, , Berkeley course notes.Google Scholar