Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T10:57:49.965Z Has data issue: false hasContentIssue false
  • English
  • Français

On ℵ1 many minimal models

Published online by Cambridge University Press:  12 March 2014

Greg Hjorth
Greg Hjorth*
Affiliation:
Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA, E-mail: greg@math.ucla.edu Department of Mathematics, University of California, Los Angeles, California 90095-1555, USA, E-mail: greg@math.ucla.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

The existence of a countable complete theory with exactly ℵ1 many minimal models is independent of ZFC + ¬CH.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 61 , Issue 3 , September 1996 , pp. 906 - 919
Copyright
Copyright © Association for Symbolic Logic 1996

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]Jech, T. J., Set theory, Academic Press, New York, San Francisco, and London, 1978.Google Scholar
[2]Keiselr, H. J., Model theory for infinitary logic, North-Holland, Amsterdam, 1971.Google Scholar
[3]Makkai, M., An example concerning Scott heights, this Journal, vol. 46 (1981), pp. 301–318.Google Scholar
[4]Moschovakis, Y. N., Descriptive set theory, North-Holland, Amsterdam, 1980.Google Scholar
[5]Shelah, S., On the number of minimal models, this Journal, vol. 43 (1978), pp. 475–480.Google Scholar
[6]Stern, J., Lusin's restricted continuum hypothesis, Annals of Mathematics, vol. 120 (1984), pp. 7–37.CrossRefGoogle Scholar