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

&
Archive for Mathematical Logic 52 (5-6):603-629 (2013)
  Copy   BIBTEX

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)

Categories

Keywords

Reprint years

DOI

10.1007/s00153-013-0334-y

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,070

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Reasonable Ultrafilters, Again.Andrzej Rosłanowski & Saharon Shelah - 2011 - Notre Dame Journal of Formal Logic 52 (2):113-147.
The tree property and the failure of SCH at uncountable cofinality.Dima Sinapova - 2012 - Archive for Mathematical Logic 51 (5-6):553-562.
Some remarks on indestructibility and Hamkins? lottery preparation.Arthur W. Apter - 2003 - Archive for Mathematical Logic 42 (8):717-735.
Collapsing functions.Ernest Schimmerling & Boban Velickovic - 2004 - Mathematical Logic Quarterly 50 (1):3-8.
On the Splitting Number at Regular Cardinals.Omer Ben-Neria & Moti Gitik - 2015 - Journal of Symbolic Logic 80 (4):1348-1360.
Simplified RCS iterations.Chaz Schlindwein - 1993 - Archive for Mathematical Logic 32 (5):341-349.
Notes on subtlety and ineffability in Pκλ.Yoshihiro Abe - 2005 - Archive for Mathematical Logic 44 (5):619-631.
Lifting elementary embeddings j: V λ → V λ. [REVIEW]Paul Corazza - 2007 - Archive for Mathematical Logic 46 (2):61-72.
On certain indestructibility of strong cardinals and a question of Hajnal.Moti Gitik & Saharon Shelah - 1989 - Archive for Mathematical Logic 28 (1):35-42.
Two‐cardinal diamond star.Pierre Matet - 2014 - Mathematical Logic Quarterly 60 (4-5):246-265.

Analytics

Added to PP
2013-11-23

Downloads
35 (#446,089)

6 months
5 (#838,398)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Regularity properties on the generalized reals.Sy David Friedman, Yurii Khomskii & Vadim Kulikov - 2016 - Annals of Pure and Applied Logic 167 (4):408-430.
Higher Miller forcing may collapse cardinals.Heike Mildenberger & Saharon Shelah - 2021 - Journal of Symbolic Logic 86 (4):1721-1744.
A parallel to the null ideal for inaccessible $$\lambda $$ λ : Part I.Saharon Shelah - 2017 - Archive for Mathematical Logic 56 (3-4):319-383.

Add more citations

References found in this work

Perfect-set forcing for uncountable cardinals.Akihiro Kanamori - 1980 - Annals of Mathematical Logic 19 (1-2):97-114.
Fusion and large cardinal preservation.Sy-David Friedman, Radek Honzik & Lyubomyr Zdomskyy - 2013 - Annals of Pure and Applied Logic 164 (12):1247-1273.
Reasonable Ultrafilters, Again.Andrzej Rosłanowski & Saharon Shelah - 2011 - Notre Dame Journal of Formal Logic 52 (2):113-147.
Uncountable superperfect forcing and minimality.Elizabeth Theta Brown & Marcia J. Groszek - 2006 - Annals of Pure and Applied Logic 144 (1-3):73-82.

Add more references