2017/10/27 by Holy, Peter, Schlicht, Philipp
#FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.1710.10043
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.