No CrossRef data available.
Article contents
Blowing up the power set of the least measurable
Published online by Cambridge University Press: 12 March 2014
Abstract
We prove some results related to the problem of blowing up the power set of the least measurable cardinal. Our forcing results improve those of [1] by using the optimal hypothesis.
- Type
- Research Article
- Information
- Copyright
- Copyright © Association for Symbolic Logic 2002
References
REFERENCES
[1]Apter, A., Forcing the least measurable to violate GCH, Mathematical Logic Quarterly, vol. 45 (1999), pp. 551–560.CrossRefGoogle Scholar
[2]Apter, A. and Cummings, J., Identity crises and strong compactness, this Journal, vol. 65 (2000), pp. 1895–1910.Google Scholar
[3]Cummings, J., A model in which GCH holds at successors but fails at limits, Transactions of the American Mathematical Society, vol. 329 (1992), pp. 1–39.CrossRefGoogle Scholar
[4]Gitik, M., Changing cofinalities and the non-stationary ideal, Israel Journal of Mathematics, vol. 56 (1986), pp. 280–314.CrossRefGoogle Scholar
[5]Gitik, M., The negation of the singular cardinal hypothesis from o(κ) = κ++, Annals of Pure and Applied Logic, vol. 43 (1989), pp. 209–234.CrossRefGoogle Scholar
[7]Hamkins, J., The lottery preparation, Annals of Pure and Applied Logic, vol. 101 (2000), pp. 103–146.CrossRefGoogle Scholar
[8]Levinski, J.-P., Filters and large cardinals, Annals of Pure and Applied Logic, vol. 72 (1995), pp. 177–212.CrossRefGoogle Scholar
[9]Mitchell, W., Sets constructible from sequences of ultrafilters, this Journal, vol. 39 (1974), pp. 57–66.Google Scholar
[10]Mitchell, W., Sets constructed from sequences of measures: revisited, this Journal, vol. 48 (1983), pp. 600–609.Google Scholar
[11]Mitchell, W., The core model for sequences of measures I, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 95 (1984), pp. 229–260.CrossRefGoogle Scholar