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After all, there are some inequalities which are provable in ZFC

Published online by Cambridge University Press:  12 March 2014

Tomek Bartoszyński ,
Andrzej Rosłanowski  and
Saharon Shelah
Tomek Bartoszyński
Affiliation:
Department of Mathematics, Boise State University, Boise, Idaho 83725, USA, E-mail: [email protected], URL: http://math.idbsu.edu/~tomek/
Andrzej Rosłanowski
Affiliation:
Department of Mathematics, Hebrew University, Jerusalem, Israel, E-mail: [email protected], http://math.rutgers.edu/~shelah/ Department of Mathematics, Hebrrew University, Jerusalem, Israel
Saharon Shelah
Affiliation:
Mathematical Institute, Wroclaw University, Wroclaw, Poland, E-mail: [email protected], URL: http://www.ma.huji.a.il/~roslanow
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Abstract

We address ZFC inequalities between some cardinal invariants of the continuum, which turned out to be true in spite of strong expectations given by [11].

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 2 , June 2000 , pp. 803 - 816
Copyright
Copyright © Association for Symbolic Logic 2000

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References

REFERENCES

[1]Bartoszyński, Tomek, Additivity of measure implies additivity of category, Transactions of the American Mathematical Society, vol. 281 (1984), no. 1, pp. 209–213.CrossRefGoogle Scholar
[2]Bartoszyński, Tomek, Combinatorial aspects of measure and category, Fundamenta Mathematicae, vol. 127 (1987), no. 3, pp. 225–239.CrossRefGoogle Scholar
[3]Bartoszyński, Tomek and Judah, Haim, Set theory: The structure of the real line, A K Peters, Wellesley, Massachusetts, 1995.CrossRefGoogle Scholar
[4]Bartoszyński, Tomek, Rosłanowski, Andrzej, and Shelah, Saharon, Adding one random real, This Journal, vol. 61 (1996), pp. 80–90.Google Scholar
[5]Fremlin, David H., Cichoń's diagram, no. 5, p. 13, presented at the Séminaire Initiation à l'Analyse, G. Choquet, M. Rogalski, J. Saint Raymond, at the Université Pierre et Marie Curie, Paris, 23e année, 1983/1984.Google Scholar
[6]Jech, Thomas, Set theory, Academic Press, New York, 1978.Google Scholar
[7]Krawczyk, Adam, Dominating reals add random reals, unpublished notes, 1985.Google Scholar
[8]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
[9]Pawlikowski, Janusz, Why Solovay real produces Cohen real, This Journal, vol. 51 (1986), no. 4, pp. 957–968.Google Scholar
[10]Rosłanowski, Andrzej and Shelah, Saharon, Localizations of infinite subsets of ω, Archive for Mathematical Logic, vol. 35 (1996), pp. 315–339.Google Scholar
[11]Rosłanowski, Andrzej and Shelah, Saharon, Norms on possibilities I: forcing with trees and creatures, Memoirs of the American Mathematical Society, vol. 114 (1999), no. 671.Google Scholar
[12]Shelah, Saharon, Proper and improper forcing, Perspectives in Logic, Springer Verlag, 1998.CrossRefGoogle Scholar