Variations on \diamond

Journal of Symbolic Logic 44 (1):51-58 (1979)
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Abstract

Various equivalents and weakenings of the combinatorial principle $\diamond$ 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 $\omega_1$

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Citations of this work

Perfect-set forcing for uncountable cardinals.Akihiro Kanamori - 1980 - Annals of Mathematical Logic 19 (1-2):97-114.
Large cardinals need not be large in HOD.Yong Cheng, Sy-David Friedman & Joel David Hamkins - 2015 - Annals of Pure and Applied Logic 166 (11):1186-1198.
Applications of cohomology to set theory I: Hausdorff gaps.Daniel E. Talayco - 1995 - Annals of Pure and Applied Logic 71 (1):69-106.

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ℵ1-Trees.Keith J. Devlin - 1978 - Annals of Mathematical Logic 13 (3):267-330.

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