187 citations · 301 across the 16 of their papers we have counts for
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math.LO2014
Indestructibility properties of remarkable cardinals
Yong Cheng, Victoria Gitman
Remarkable cardinals were introduced by Schindler, who showed that the existence of a remarkable cardinal is equiconsistent with the assertion that the theory of is…
math.LO2014
Large cardinals need not be large in HOD
Yong Cheng, Sy-David Friedman, Joel David Hamkins
We prove that large cardinals need not generally exhibit their large cardinal nature in HOD. For example, a supercompact cardinal need not be weakly compact in HOD, and there c…
math.LO2014★ 1 cited
Force a set model of + Harrington's Principle
Yong Cheng
Let denote order arithmetic. Let Harrington's Principle, HP, denote the statement that there is a real such that every --admissible ordinal is a cardinal in $…