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Simplified morasses

Published online by Cambridge University Press:  12 March 2014

Dan Velleman
Dan Velleman*
Affiliation:
University of Texas, Austin, Texas 78712
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Abstract

We define a structure which is much simpler than a morass, but whose existence is equivalent to the existence of a morass.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 49 , Issue 1 , March 1984 , pp. 257 - 271
Copyright
Copyright © Association for Symbolic Logic 1984

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References

REFERENCES

[1]Devlin, K., Aspects of constructibility, Lecture Notes in Mathematics, vol. 354, Springer-Verlag, Berlin, 1973.CrossRefGoogle Scholar
[2]Shelah, S. and Stanley, L., S-forcing. I: A “black box” theorem for morasses, with applications: Super-Souslin trees and generalizing Martin's axiom. Israel Journal of Mathematics, vol. 43 (1982), pp. 185–224.CrossRefGoogle Scholar
[3]Velleman, D., Morasses, diamond, and forcing. Annals of Mathematical Logic, vol. 23 (1982), pp. 199–281.CrossRefGoogle Scholar
[4]Velleman, D., ω-morasses, and a weak form of Martin's axiom provable in ZFC (to appear).Google Scholar