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math.LO2021
The Virtual Large Cardinal Hierarchy
Stamatis Dimopoulos, Victoria Gitman, Dan Saattrup Nielsen
We continue the study of the virtual large cardinal hierarchy by analysing virtual versions of superstrong, Woodin, and Berkeley cardinals. Gitman and Schindler showed that virtual…
math.LO2018
Games and Ramsey-like cardinals
Dan Saattrup Nielsen, Philip Welch
We generalise the -Ramsey cardinals introduced in Holy and Schlicht (2018) for cardinals to arbitrary ordinals , and answer several questions posed in that paper. In part…