More about λ-support iterations of (<λ)-complete forcing notions

Andrzej Rosłanowski; Saharon Shelah

doi:10.1007/s00153-013-0334-y

More about λ-support iterations of (<λ)-complete forcing notions

Andrzej Rosłanowski^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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).

Original language	English
Pages (from-to)	603-629
Number of pages	27
Journal	Archive for Mathematical Logic
Volume	52
Issue number	5-6
DOIs	https://doi.org/10.1007/s00153-013-0334-y
State	Published - Aug 2013

Keywords

Forcing
Iterations
Not collapsing cardinals
Proper

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Cite this

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KW - Forcing

KW - Iterations

KW - Not collapsing cardinals

KW - Proper

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More about λ-support iterations of (<λ)-complete forcing notions

Abstract

Keywords

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