Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-26T22:07:05.244Z Has data issue: false hasContentIssue false

On a class of m.a.d. families

Published online by Cambridge University Press:  12 March 2014

Yi Zhang*
Affiliation:
Mathematics Department, Rutgers University, New Brunswick, N. J. 08903, USA E-mail: cyzhang@math.rutgers.edu
*
Mathematics Institute, Academia Sinica, Beijing, 100080, People's Republic of China

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.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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. 399409.CrossRefGoogle Scholar
[M] Miller, A., Some properties of measure and category, Transactions of the American Mathematical Society, vol. 266 (07 1981), no. 1, pp. 93114.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. 183207.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[S] Steprans, J., unpublished notes, Department of Mathematics, York University, 1997.Google Scholar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. 111167.Google Scholar
[Z] Zhang, Y., Cofinitary groups and almost disjoint families, Ph.D. thesis , Rutgers University, 1997.Google Scholar