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Variations on ◊

  • Keith J. Devlin (a1)
Abstract
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.

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References
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[1]Devlin K. J., Aspects of constructibility, Lecture Notes in Mathematics, no. 354, Springer-Verlag, Berlin and New York, 1973.
[2]Devlin K. J., 0-Trees, Annals of Mathematical Logic, vol. 13(1978), pp. 267330.
[3]Devlin K. J., Iterated Souslin forcing, the principles ◊(E), and a generalisation of the axiom SAD, Israel Journal of Mathematics (to appear).
[4]Devlin K. J., A note on the combinatorial principles ◊(E), Proceedings of the American Mathematical Society (to appear).
[5]Devlin K. J. and Johnsbråten H., The Souslin problem, Lecture Notes in Mathematics, no. 405, Springer-Verlag, Berlin and New York, 1974.
[6]Devlin K. J. and Shelah S., A weak version of ◊ which follows from inline-graphic, Israel Journal of Mathematics, vol. 29(1978), pp. 239247.
[7]Shelah S., Whitehead groups may be not free even assuming CH. I, Israel Journal of Mathematics, vol. 28(1978), pp. 193204.
[8]Shelah S., Club is not diamond (to appear).
[9]Ostaszewski A., On countably compact perfectly normal spaces, Journal of the London Mathematical Society, vol. 14(1976), pp. 505516.
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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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