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A Sacks real out of nowhere
Published online by Cambridge University Press: 12 March 2014
Abstract
There is a proper countable support iteration of length ω adding no new reals at finite stages and adding a Sacks real in the limit.
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- Copyright © Association for Symbolic Logic 2012
References
REFERENCES
[1]
Bartoszyński, Tomek and Judah, Haim, Set theory: On the structure of the real line, A K Peters Ltd., Wellesley, MA, 1995.Google Scholar
[2]
Ciesielski, Krzysztof and Pawlikowski, Janusz, The covering property axiom, CPA: A combinatorial core of the iterated perfect set model, Cambridge Tracts in Mathematics, vol. 164, Cambridge University Press, Cambridge, 2004.CrossRefGoogle Scholar
[3]
Devlin, Keith J. and Johnsbráten, Hávard, The Souslin problem, Springer-Verlag, Berlin, 1974, Lecture Notes in Mathematics, Vol. 405.Google Scholar
[4]
Goldstern, Martin, Tools for your forcing construction, Set theory of the reals (Ramat Gan, 1991), Israel Mathematics Conference Proceedings, vol. 6, Bar-Ilan University, Ramat Gan, 1993, pp. 305–360.Google Scholar
[5]
Goldstern, Martin and Kellner, Jakob, New reals: can live with them, can live without them, Mathematical Logic Quarterly, vol. 52 (2006), no. 2, pp. 115–124.Google Scholar
[6]
Shelah, Saharon, Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin, 1982.Google Scholar
[7]
Shelah, Saharon, Proper and improper forcing, second ed., Perspectives in Mathematical Logic, Springer-Verlag, Berlin, 1998.Google Scholar
[8]
Solovay, R. M. and Tennenbaum, S., Iterated Cohen extensions and Souslin's problem, Annals of Mathematics. Second Series, vol. 94 (1971), pp. 201–245.Google Scholar
[9]
Zapletal, Jindřich, Forcing idealized, Cambridge Tracts in Mathematics, vol. 174, Cambridge University Press, Cambridge, 2008.Google Scholar
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