Order types of free subsets

Annals of Pure and Applied Logic 89 (1):75-83 (1997)
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Abstract

We give for ordinals α a lower bound for the least ordinal α such that Frordξ,β) and show that given enough measurable cardinals there are forcing extensions where the given bounds are sharp

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10.1016/s0168-0072(96)00016-4

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Citations of this work

More canonical forms and dense free subsets.Heike Mildenberger - 2004 - Annals of Pure and Applied Logic 125 (1-3):75-99.

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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.
On the free subset property at singular cardinals.Peter Koepke - 1989 - Archive for Mathematical Logic 28 (1):43-55.

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