5
votes
4answers
290 views
do behavior of gimel or GCH determine all infinte products of cardinals?
Let $Card$ be the class of infinite cardinals and $p\colon Card^2\to Card$ be given by $(\kappa,\lambda)\mapsto\kappa^\lambda$.
Assuming GCH it is known that $p(\kappa,\lambda)$ is …
3
votes
1answer
174 views
The canonical forcing of the GCH and direct limits.
The motivation for this question is that I am working through an exercise to force the GCH (generalized continuum hypothesis) over a model of ZFC and obtain a model of ZFC where GC …
6
votes
4answers
1k views
Failure of the GCH
What is the (currently known) consistency strength of global failure of the GCH?
I do not have access to the exact statement of the original Foreman-Woodin result. My searches see …
