Past exam of the mathematics course of the University of Cambridge 2014 iii Paper 19 4 i b Solution Created 2026-10-03 Updated 2026-10-06
The stationary-indexed club principle asserts a sequence with each cofinal of order type , such that for every uncountable some satisfies . It predicts a cofinal ladder contained in the target, rather than predicting the entire initial segment of the target as diamond does. For a stationary with successor members, only its stationary limit-ordinal part is relevant; countable limit ordinals have cofinality . This is the restricted version of the club principle.