### Reasonably complete forcing notions

by Roslanowski and Shelah. [RoSh:860]

Quaderni di Matematica, 2006

We introduce more properties of forcing notions which imply
that their lambda --support iterations are lambda --proper, where
lambda is an inaccessible cardinal. This paper is a direct
continuation of Ros{l}anowski and Shelah [RoSh:777, section A.2].
As an
application of our iteration result we show that it is consistent
that dominating numbers associated with two normal filters on
lambda are distinct.

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