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Mutual stationarity in the coremodel

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Published online by Cambridge University Press:  31 March 2017

Matthias Baaz
Affiliation:
Technische Universität Wien, Austria
Sy-David Friedman
Affiliation:
Universität Wien, Austria
Jan Krajíček
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '01 , pp. 386 - 401
Publisher: Cambridge University Press
Print publication year: 2005

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References

[1] A., Andretta, I., Neeman, and J. R., Steel, The domestic levels of Kc are iterable, Israel Journal of Mathematics, vol. 125 (2001), pp. 157–201.Google Scholar
[2] J., Baumgartner, On the size of closed unbounded sets, Annals of Pure and Applied Logic, vol. 54 (1991), pp. 195–227.Google Scholar
[3] M., Foreman and M., Magidor, Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on P?, Acta Mathematica, vol. 186 (2001), pp. 271–300.Google Scholar
[4] R., Jensen, A new fine structure for higher core models, handwritten notes, 1997, available at http://www.mathematik.hu-berlin.de/.
[5] B., Löwe and J. R., Steel, An introduction to core model theory, Sets and proofs (Cooper and Truss, editors), Cambridge University Press, 1999.
[6] W. J., Mitchell, The core model for sequences of measures, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 95 (1984), pp. 228–260.Google Scholar
[7] W. J., Mitchell, The core model for sequences of measures II, typescript.
[8] W. J., Mitchell and E., Schimmerling, Covering without countable closure, Mathematical Research Letters, vol. 2 (1995), pp. 595–609.Google Scholar
[9] W. J., Mitchell, E., Schimmerling, and J. R., Steel, The covering lemma up to a Woodin cardinal, Annals of Pure and Applied Logic, vol. 84 (1997), pp. 219–255.Google Scholar
[10] W. J., Mitchell and J. R., Steel, Fine structure and iteration trees, Lecture Notes in Logic, vol. 3, Springer-Verlag, 1994.
[11] I., Neeman, Inner models in the region of a woodin limit of Woodin cardinals, preprint.
[12] E., Schimmerling and J. R., Steel, The maximality of the core model, Transactions of the American Mathematical Society, vol. 351 (1999), no. 8, pp. 3119–3141.Google Scholar
[13] E., Schimmerling and M., Zeman, A characterization of in core models, Journal of Mathematical Logic, vol. 4 (2004), pp. 1–72.Google Scholar
[14] R., Schindler, The core model for almost linear iterations, Annals of Pure and Applied Logic, vol. 116 (2002), pp. 207–274.Google Scholar
[15] R., Schindler and J. R., Steel, List of open problems in inner model theory, available at http://wwwmath.uni-muenster.de/math/inst/logik/org/staff/rds/list.html.
[16] R., Schindler, J.R., Steel, and M., Zeman, Deconstructing inner model theory, The Journal of Symbolic Logic, vol. 67 (2002), pp. 721–736.Google Scholar
[17] J., Steel, The core model iterability problem, Lecture Notes in Logic, vol. 8, Springer- Verlag, 1996.

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