9 citations · 9 across the 7 of their papers we have counts for
5 papers · 1 filter
A new model for all -sequences are trivial
Assaf Rinot, Zhixing You, Jiachen Yuan
We construct a model in which all -sequences are trivial, yet there exists a -Souslin tree with full vanishing levels. This answers a question of Lambie-Hanson and Rinot, and…
Ketonen's question and other cardinal sins
Assaf Rinot, Zhixing You, Jiachen Yuan
Answering a question of Ketonen from the late 1970's, it is proved that a weakly compact cardinal carrying an indecomposable ultrafilter need not be measurable. The result is obtai…
How far is almost strong compactness from strong compactness
Zhixing You, Jiachen Yuan
Bagaria and Magidor introduced the notion of almost strong compactness, which is very close to the notion of strong compactness. Boney and Brooke-Taylor asked whether the least alm…
On the cofinality of the least -strongly compact cardinal
Zhixing You, Jiachen Yuan
In this paper, we characterize the possible cofinalities of the least -strongly compact cardinal. We show that, on the one hand, for any regular cardinal, , that carries a $λ…
Factorials of infinite cardinals in ZF
Guozhen Shen, Jiachen Yuan
For a set , let be the set of all permutations of . We study several aspects of this notion in . The main results are as follows: (1) $\mathsf{Z…