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Suslin forcing and parametrized ◊ principles

Published online by Cambridge University Press:  12 March 2014

Hiroaki Minami
Hiroaki Minami*
Affiliation:
Graduate School of Science and Technology, Kobe University, Rokkodai, Nada-Ku, Kobe 657-8501, Japan, E-mail: minami@kurt.scitec.kobe-u.ac.jp
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Abstract

By using finite support iteration of Suslin c.c.c forcing notions we construct several models which satisfy some ◊-like principles while other cardinal invariants are larger than ω1.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 3 , September 2008, pp. 752 - 764
Copyright
Copyright © Association for Symbolic Logic 2008

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References

REFERENCES

[1]Bartoszyński, Tomek and Judah, Haim, Set theory. On the structure of the real line, A K Peters, Wellesley, MA, 1995.Google Scholar
[2]Blass, Andreas, Reductions between cardinal characteristics of the continuum, Contemporary Mathematics, vol. 192 (1996), pp. 31–49.CrossRefGoogle Scholar
[3]Blass, Andreas, Combinatorial cardinal characteristics of the continuum, Handbook of set theory (Foreman, Matthew and Kanamori, Akihiro, editors), Springer-Verlag, Berlin, to appear.Google Scholar
[4]Kunen, Kenneth, Set theory. An introduction to independence proofs, Studies in Logic and the Foundations of Mathematics, vol. 102, North-Holland Publishing Co, Amsterdam, 1983.Google Scholar
[5]Miller, Arnold W., Some properties of measure and category, Transactions of the American Mathematical Society, vol. 266 (1981), no. 1, pp. 93–114.CrossRefGoogle Scholar
[6]Minami, Hiroaki, Diamond principles in Cichoń's diagram, Archive for Mathematical Logic, (2005), no. 4, pp. 513–526.Google Scholar
[7]Moore, Justin Tatch, Hrušák, Michael, and Džamonja, Mirna, Parametrized ◊ principles, Transactions of the American Mathematical Society, vol. 356 (2004), pp. 2281–2306.CrossRefGoogle Scholar