TY - JOUR
T1 - More about λ-support iterations of (<λ)-complete forcing notions
AU - Rosłanowski, Andrzej
AU - Shelah, Saharon
PY - 2013/8
Y1 - 2013/8
N2 - This article continues Rosłanowski and Shelah (Int J Math Math Sci 28:63-82, 2001; Quaderni di Matematica 17:195-239, 2006; Israel J Math 159:109-174, 2007; 2011; Notre Dame J Formal Logic 52:113-147, 2011) and we introduce here a new property of (<λ)-strategically complete forcing notions which implies that their λ-support iterations do not collapse λ+ (for a strongly inaccessible cardinal λ).
AB - This article continues Rosłanowski and Shelah (Int J Math Math Sci 28:63-82, 2001; Quaderni di Matematica 17:195-239, 2006; Israel J Math 159:109-174, 2007; 2011; Notre Dame J Formal Logic 52:113-147, 2011) and we introduce here a new property of (<λ)-strategically complete forcing notions which implies that their λ-support iterations do not collapse λ+ (for a strongly inaccessible cardinal λ).
KW - Forcing
KW - Iterations
KW - Not collapsing cardinals
KW - Proper
UR - http://www.scopus.com/inward/record.url?scp=84879838348&partnerID=8YFLogxK
U2 - 10.1007/s00153-013-0334-y
DO - 10.1007/s00153-013-0334-y
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AN - SCOPUS:84879838348
SN - 0933-5846
VL - 52
SP - 603
EP - 629
JO - Archive for Mathematical Logic
JF - Archive for Mathematical Logic
IS - 5-6
ER -