Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-26T19:07:23.499Z Has data issue: false hasContentIssue false

A minimal degree which collapses ω1

Published online by Cambridge University Press:  12 March 2014

Tim Carlson
Affiliation:
University of California, Berkeley, California 94720
Kenneth Kunen
Affiliation:
University of Wisconsin, Madison, Wisconsin 53706
Arnold W. Miller
Affiliation:
University of Texas, Austin, Texas 78712

Abstract

We consider a well-known partial order of Prikry for producing a collapsing function of minimal degree. Assuming MA + ¬CH, every new real constructs the collapsing map.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1984

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

Abraham, U., Minimal model of is countable” and definable reals, (198?) (to appear).Google Scholar
Namba, K., Independence proof of (ω, ω1)-WDL from (ω, ω)-WDL, Commentarti Mathematici Universitatis Sancii Pauli, vol. 21 (1972), fase. 2, pp. 4753.Google Scholar
Rudin, M. E., Martin's Axiom, Handbook of mathematical logic (Barwise, J., editor), North-Holland, Amsterdam, 1977, pp. 419502.Google Scholar