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Internal consistency and global co-stationarity of the ground model

  • Natasha Dobrinen (a1) and Sy-David Friedman (a2)

Abstract

Global co-stationarity of the ground model from an ℵ2-c.c. forcing which adds a new subset of ℵ1 is internally consistent relative to an ω1-Erdős hyperstrong cardinal and a sufficiently large measurable above.

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Corresponding author

University of Denver, Department of Mathematics, 2360 S Gaylord St., Denver, CO 80208, USA, E-mail: ndobrine@du.edu, URL: http://www.math.du.edu/dobrinen/

References

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[1]Baumgartner, James E., On the size of closed unbounded sets, Annals of Pure and Applied Logic, vol. 54 (1991), pp. 195227.
[2]Beller, A., Jensen, R., and Welch, P., Coding the Universe, Cambridge University Press, 1982.
[3]Dobrinen, Natasha and Friedman, Sy-David, Co-stationarity of the ground model, this Journal, vol. 71 (2006), no. 3, pp. 10291043.
[4]Friedman, Sy-David, Internal consistency and the inner model hypothesis, The Bulletin of Symbolic Logic, vol. 12 (2006), no. 4, pp. 591600.
[5]Koppelberg, Sabine, Handbook of Boolean Algebra, vol. 1, North-Holland, 1989.
[6]Kueker, David W., Löwenheim-Skolem and interpolation theorems in infinitary languages, Bulletin of the American Mathematical Society, vol. 78 (1972), pp. 211215.
[7]Menas, Telis K., On strong compactness and supercompactness, Annals of Mathematical Logic, vol. 7 (1974/1975), pp. 327359.

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Internal consistency and global co-stationarity of the ground model

  • Natasha Dobrinen (a1) and Sy-David Friedman (a2)

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