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 language | English |
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Pages (from-to) | 49-74 |
Number of pages | 26 |
Journal | Fundamenta Mathematicae |
Volume | 242 |
Early online date | 17 Jan 2018 |
DOIs | |
Publication status | Published - Jan 2018 |