Understanding Preservation Theorems, II
arXiv:1001.0922
Abstract
This is an exposition of much of Sections VI.3 and XVIII.3 of "Proper and Improper Forcing", including preservations for "no random reals over V", "reals of V form a non-meager set", "every dense open set contains a dense open set in V", weak bounding, and weak -bounding. The current version of part I covering Sections VI.1 and VI.2 is available from the author.
To appear in MLQ