Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-20T03:03:33.235Z Has data issue: false hasContentIssue false
  • English
  • Français

Almost disjoint sets and Martin's axiom

Published online by Cambridge University Press:  12 March 2014

Michael L. Wage
Michael L. Wage*
Affiliation:
Yale University, New Haven, Connecticut 06520
*
Harvard Medical School, Harvard-MIT Division of Health Sciences and Technology, 17–512 MIT, Cambridge, MA 02139
Get access Rights & Permissions [Opens in a new window]

Abstract

We present a number of results involving almost disjoint sets and Martin's axiom. Included is an example, due to K. Kunen, of a c.c.c. partial order without property K whose product with every c.c.c. partial order is c.c.c.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 44 , Issue 3 , September 1979 , pp. 313 - 318
Copyright
Copyright © Association for Symbolic Logic 1979

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

[DRW]Davis, S. W., Reed, G. M. and Wage, M. L., Further results on weakly uniform bases, Houston-Journal of Mathematics, vol. 2(1976), pp. 57–63.Google Scholar
[EH]Erdös, P. and Hajnal, A., Unsolved and solved problems in set theory, Proceedings of the Tarski Symposium, Proceedings of Symposia in Pure Mathematics, vol. 25, American Mathematical Society, Providence, R. I., 1974, pp. 269–287.Google Scholar
[ER]Erdös, P. and Rado, R., A partition calculus in set theory, Bulletin of the American Mathematical Society, vol. 62(1956), pp. 427–489.CrossRefGoogle Scholar
[G]Galvin, F., Chain conditions and products, Fundamenta Mathematicae (to appear).Google Scholar
[H]Hajnal, A., Some results and problems on set theory, Acta Mathematica Academicae Scientiarum Hungaricae, vol. 11(1960), pp. 277–298.CrossRefGoogle Scholar
[J]Jech, T., Lectures in set theory, Lecture Notes in Mathematics, vol. 217, Springer-Verlag, Berlin, 1971.Google Scholar
[Ju]Juhász, I., Cardinal functions in topology, Mathematical Centre Tracts, no. 34, Mathematisch Centrum, Amsterdam, 1971.Google Scholar
[KT]Kunen, K. and Tall, F., Between Martin's axiom and Suslin's hypotheis (to appear).Google Scholar
[L]Laver, R., Partition relations for uncountable cardinals , Infinite and finite sets, vol. 2, North-Holland, Amsterdam, 1975, pp. 1029–1042.Google Scholar
[MS]Martin, D. A. and Solovay, R. M., Internal Cohen extensions, Annals of Mathematical Logic, vol. 2(1970), pp. 143–178.CrossRefGoogle Scholar
[U]Ulam, S., Zur Masstheorie in der allgemeinen Mengenlehre, Fundamenta Mathematicae, vol. 16(1930), pp. 140–150.CrossRefGoogle Scholar