Showing 1999 · math.LOShow all
3 papers · 2 filters
math.LO1999
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.
math.LO1999
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…
math.LO1999
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…