5 papers · 1 filter
The power set function
Moti Gitik
We survey old and recent results on the problem of finding a complete set of rules describing the behavior of the power function, i.e. the function which takes a cardinal to th…
No bound for the first fixed point
Moti Gitik
Our aim is to show that it is impossible to find a bound for the power of the first fixed point of the aleph function.
On Some Configurations Related to the Shelah Weak Hypothesis
Moti Gitik, Saharon Shelah
We show that some cardinal arithmetic configurations related to the negation of the Shelah Weak Hypothesis and natural from the forcing point of view are impossible.
On Gaps under GCH Type Assumptions
M. Gitik
The results of the previous version are impoved. This basically completes the study of consistency strength of various gaps between a strong limit singular cardinal of cofinality o…
Wide gaps with short extenders
Moti Gitik
Let kappa be the limit of <kappa_n : n<omega> (1) if each kappa_n carries an extender of the length of the first Mahlo above kappa_n, then for every ld above kappa there is a gener…