International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 2, Pages 63-82
doi:10.1155/S016117120102018X
Iteration of λ-complete forcing notions not collapsing λ+
Andrzej Rosłanowski1
and Saharon Shelah2
1Department of Mathematics, University of Nebraska at Omaha, Omaha 68182-0243, NE, USA
2Department of Mathematics, Rutgers University, New Brunswick 08854, NJ, USA
Abstract
We look for a parallel to the notion of “proper forcing” among λ-complete forcing notions not collapsing λ+. We suggest such a definition and prove that it is preserved by suitable iterations.