A hierarchy of ramsey cardinals

Annals of Pure and Applied Logic 49 (3):257-277 (1990)
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Abstract

Assuming the existence of a measurable cardinal, we define a hierarchy of Ramsey cardinals and a hierarchy of normal filters. We study some combinatorial properties of this hierarchy. We show that this hierarchy is absolute with respect to the Dodd-Jensen core model, extending a result of Mitchell which says that being Ramsey is absolute with respect to the core model

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10.1016/0168-0072(90)90028-z

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Citations of this work

Ramsey-like cardinals.Victoria Gitman - 2011 - Journal of Symbolic Logic 76 (2):519 - 540.
Ramsey-like cardinals II.Victoria Gitman & P. D. Welch - 2011 - Journal of Symbolic Logic 76 (2):541-560.
Small models, large cardinals, and induced ideals.Peter Holy & Philipp Lücke - 2021 - Annals of Pure and Applied Logic 172 (2):102889.
A refinement of the Ramsey hierarchy via indescribability.Brent Cody - 2020 - Journal of Symbolic Logic 85 (2):773-808.

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References found in this work

The core model.A. Dodd & R. Jensen - 1981 - Annals of Mathematical Logic 20 (1):43-75.
Ramsey cardinals and constructibility.William Mitchell - 1979 - Journal of Symbolic Logic 44 (2):260-266.

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