An infinitary Ramsey property

Annals of Pure and Applied Logic 57 (2):151-160 (1992)
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Abstract

Mitchell, W.J., An infinitary Ramsey property, Annals of Pure and Applied Logic 57 151–160. We prove that the consistency of a measurable cardinal implies the consistency of a cardinal κ>+ satisfying the partition relations κ ω and κ ωregressive. This result follows work of Spector which uses the same hypothesis to prove the consistency of ω1 ω. We also give some examples of partition relations which can be proved for ω1 using the methods of Spector but cannot be proved for cardinals κ>+ without a much stronger hypothesis

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Happy families.A. R. D. Mathias - 1977 - Annals of Mathematical Logic 12 (1):59.
The core model.A. Dodd & R. Jensen - 1981 - Annals of Mathematical Logic 20 (1):43-75.

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