All Questions
Tagged with inner-model-theory gch
3 questions
5
votes
1
answer
396
views
GCH implies acceptability
I have been studying the concept of acceptability, particularly in its relation to GCH.
There are many versions of it in the sources I have found, with some slight variations, and some of them are ...
6
votes
1
answer
355
views
Is $V=\textsf{HOD}\not\Rightarrow\textsf{GCH}$ consistent?
Whenever $M$ is some fine-structural $L$-like model we can prove the implication $V=M\Rightarrow\textsf{GCH}$. For $L$ this is due to Gödel, and for the modern extender models it follows simply by ...
10
votes
1
answer
381
views
Precipitous ideals and GCH
It is well known that ZFC + "There is a measurable cardinal" is equiconsistent with ZFC + "There is a precipitous ideal on $\omega_1$." Is ZFC + "There is a measurable $\kappa$ such that $2^\kappa &...