On the free subset property at singular cardinals

Archive for Mathematical Logic 28 (1):43-55 (1989)
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Abstract

We give a proof ofTheorem 1. Let κ be the smallest cardinal such that the free subset property Fr ω (κ,ω 1)holds. Assume κ is singular. Then there is an inner model with ω1 measurable cardinals

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10.1007/bf01624082

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Citations of this work

Order types of free subsets.Heike Mildenberger - 1997 - Annals of Pure and Applied Logic 89 (1):75-83.
From noncommutative diagrams to anti-elementary classes.Friedrich Wehrung - 2020 - Journal of Mathematical Logic 21 (2):2150011.

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References found in this work

Some weak versions of large cardinal axioms.Keith J. Devlin - 1973 - Annals of Mathematical Logic 5 (4):291.
The consistency strength of the free-subset property for ωω.Peter Koepke - 1984 - Journal of Symbolic Logic 49 (4):1198 - 1204.
Some applications of short core models.Peter Koepke - 1988 - Annals of Pure and Applied Logic 37 (2):179-204.
More on the free subset problem.K. J. Devlin - 1973 - Annals of Mathematical Logic 5 (4):327.

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