A hierarchy of Ramsey-like cardinals
Logic
2017-10-30 v1
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.
Keywords
Cite
@article{arxiv.1710.10043,
title = {A hierarchy of Ramsey-like cardinals},
author = {Peter Holy and Philipp Schlicht},
journal= {arXiv preprint arXiv:1710.10043},
year = {2017}
}