Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-17T02:44:39.486Z Has data issue: false hasContentIssue false
  • English
  • Français

Variations on ◊

Published online by Cambridge University Press:  12 March 2014

Keith J. Devlin
Keith J. Devlin*
Affiliation:
University of Lancaster, Lancaster LA1 4YL, England
Get access Rights & Permissions [Opens in a new window]

Abstract

Various equivalents and weakenings of the combinatorial principle ◊ are considered. The paper contains both absolute results and consistency results. Also included is a new characterisation of the notion of a stationary subset of ω1.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 44 , Issue 1 , March 1979 , pp. 51 - 58
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

[1]Devlin, K. J., Aspects of constructibility, Lecture Notes in Mathematics, no. 354, Springer-Verlag, Berlin and New York, 1973.Google Scholar
[2]Devlin, K. J., ℵ0-Trees, Annals of Mathematical Logic, vol. 13(1978), pp. 267–330.CrossRefGoogle Scholar
[3]Devlin, K. J., Iterated Souslin forcing, the principles ◊(E), and a generalisation of the axiom SAD, Israel Journal of Mathematics (to appear).Google Scholar
[4]Devlin, K. J., A note on the combinatorial principles ◊(E), Proceedings of the American Mathematical Society (to appear).Google Scholar
[5]Devlin, K. J. and Johnsbråten, H., The Souslin problem, Lecture Notes in Mathematics, no. 405, Springer-Verlag, Berlin and New York, 1974.Google Scholar
[6]Devlin, K. J. and Shelah, S., A weak version of ◊ which follows from , Israel Journal of Mathematics, vol. 29(1978), pp. 239–247.CrossRefGoogle Scholar
[7]Shelah, S., Whitehead groups may be not free even assuming CH. I, Israel Journal of Mathematics, vol. 28(1978), pp. 193–204.CrossRefGoogle Scholar
[8]Shelah, S., Club is not diamond (to appear).Google Scholar
[9]Ostaszewski, A., On countably compact perfectly normal spaces, Journal of the London Mathematical Society, vol. 14(1976), pp. 505–516.CrossRefGoogle Scholar