Understanding Preservation Theorems, Chapter VI of Proper and Improper Forcing, I
arXiv:1305.5906
Abstract
This is an exposition of the first two sections of Chapter VI of Shelah's book Proper and Improper Forcing. It covers various preservation theorems for CS iteration of proper forcing (omega-omega bounding, Sacks property, P-point property, etc.)
arXiv admin note: text overlap with arXiv:math/0505645