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On a class of m.a.d. families

Published online by Cambridge University Press:  12 March 2014

Yi Zhang
Yi Zhang*
Affiliation:
Mathematics Department, Rutgers University, New Brunswick, N. J. 08903, USA E-mail: [email protected]
*
Mathematics Institute, Academia Sinica, Beijing, 100080, People's Republic of China
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Abstract

We compare several closely related continuum invariants, i.e., a, ae. ap in two forcing models. And we shall ask some open questions in this field.

Keywords

Forcingm.a.d. family
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 2 , June 1999 , pp. 737 - 746
Copyright
Copyright © Association for Symbolic Logic 1999

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References

REFERENCES

[Jech] Jech, T., Set theory, Academic Press, 1978.Google Scholar
[Kun] Kunen, K., Set Theory. An Introduction to Independence Proofs, North Holland, Amsterdam, 1980.Google Scholar
[KM] Kunen, K. and Miller, A., Borel and projective sets from the point of view of compact sets, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 94 (1983), pp. 399–409.CrossRefGoogle Scholar
[M] Miller, A., Some properties of measure and category, Transactions of the American Mathematical Society, vol. 266 (07 1981), no. 1, pp. 93–114.Google Scholar
[Sh:P] Shelah, S., Proper forcing, Lecture Notes in Mathematics, no. 940, Springer-Verlag, Berlin, 1982.Google Scholar
[Sh:207] Shelah, S., On cardinal invariants of the continuum, Axiomatic set theory (Martin, D. A. Baumgartner, J. and Shelah, S., editors), vol. 31, Contemporary Mathematics, 1984, pp. 183–207.Google Scholar
[S] Steprans, J., unpublished notes, Department of Mathematics, York University, 1997.Google Scholar
[vD] van Douwen, E., The integers and topology, Handbook of set theoretic topology (Kunen, K. and Vaughan, J., editors), North-Holland, Amsterdam, 1984, pp. 111–167.Google Scholar
[Z] Zhang, Y., Cofinitary groups and almost disjoint families, Ph.D. thesis , Rutgers University, 1997.Google Scholar