Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-25T08:13:26.681Z Has data issue: false hasContentIssue false
  • English
  • Français

On the standard part of nonstandard models of set theory

Published online by Cambridge University Press:  12 March 2014

Menachem Magidor ,
Saharon Shelah  and
Jonathan Stavi
Menachem Magidor
Affiliation:
Hebrew University, Jerusalem, Israel Bar Ilan University, Ramat Gan, Israel
Saharon Shelah
Affiliation:
Hebrew University, Jerusalem, Israel Bar Ilan University, Ramat Gan, Israel
Jonathan Stavi
Affiliation:
Hebrew University, Jerusalem, Israel Bar Ilan University, Ramat Gan, Israel
Get access Rights & Permissions [Opens in a new window]

Abstract

We characterize the ordinals α of uncountable cofinality such that α is the standard part of a nonstandard model of ZFC (or equivalently KP).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 48 , Issue 1 , March 1983 , pp. 33 - 38
Copyright
Copyright © Association for Symbolic Logic 1983

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

[1]Boolos, G., On the semantics of the constructible levels, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, vol. 16 (1970).CrossRefGoogle Scholar
[2]Friedman, H., Countable models of set theory, Cambridge Summer School in Math Logic Springer, Berlin-New York, 1973, pp. 539–573.CrossRefGoogle Scholar
[3]Jensen, R., The fine structure of the constructible hierarchy, Annals of Mathematical Logic, vol. 4 (1972), pp. 229–308.CrossRefGoogle Scholar
[4]Magidor, M., Shelah, S. and Stavi, J., Countably decomposable admissible sets, announced in Abstracts of Papers Presented to the American Mathematical Society, 1980, pp. 392–393 (in preparation).Google Scholar
[5]Silver, J. H., Some applications of model theory in set theory. Annals of Mathematical Logic, vol. 3 (1971), pp. 45–110.CrossRefGoogle Scholar