Lords of the iteration

by Roslanowski and Shelah. [RoSh:888]
Set Theory and Its Applications, 2011
We introduce several properties of forcing notions which imply that their lambda --support iterations are lambda --proper. Our methods and techniques refine those studied in [RoSh:655], [RoSh:777], [RoSh:860] and [RoSh:890], covering some new forcing notions (though the exact relation of the new properties to the old ones remains undecided).


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