Two weak consequences of 0# [Book Review]

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Journal of Symbolic Logic 50 (3):597 - 603 (1985)
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Abstract

It is proven that the following statement: "there exists a club $C \subseteq \kappa$ such that every α ∈ C is an inaccessible cardinal in L and, for every δ a limit point of C, C ∩ δ is almost contained in every club of δ of L" is equiconsistent with a weakly compact cardinal if κ = ℵ 1 , and with a weakly compact cardinal of order 1 if κ = ℵ 2

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10.2307/2274315

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W. Hugh Woodin
Harvard University

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Set Theory.Keith J. Devlin - 1981 - Journal of Symbolic Logic 46 (4):876-877.
A new class of order types.James E. Baumgartner - 1976 - Annals of Mathematical Logic 9 (3):187-222.

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