A hierarchy of Ramsey-like cardinals

Peter Holy, Philipp Schlicht

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

We introduce a hierarchy of large cardinals between weakly compact and measurable cardinals, that is closely related to the Ramsey-like cardinals introduced by Victoria Gitman, and is based on certain infinite filter games, however also has a range of equivalent characterizations in terms of elementary embeddings. The aim of this paper is to locate the Ramsey-like cardinals studied by Gitman, and other well-known large cardinal notions, in this hierarchy.
Original languageEnglish
Pages (from-to)49-74
Number of pages26
JournalFundamenta Mathematicae
Volume242
Early online date17 Jan 2018
DOIs
Publication statusPublished - Jan 2018

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