Iteration ofλ-complete forcing notions not collapsingλ+-Reference-Cited by-同舟云学术

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Iteration ofλ-complete forcing notions not collapsingλ+

Published:2001 Issue:2 Volume:28 Page:63-82
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Rosłanowski Andrzej¹,Shelah Saharon²³

Affiliation:

1. Department of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182-0243, USA

2. Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA

3. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

Abstract

We look for a parallel to the notion of proper forcing amongλ-complete forcing notions not collapsingλ+. We suggest such a definition and prove that it is preserved by suitable iterations.

Funder

United States - Israel Binational Science Foundation

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2001/642040.pdf

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Forcing axioms for λ‐complete μ+$\mu ^+$‐c.c.;Mathematical Logic Quarterly;2022-02

2. HIGHER MILLER FORCING MAY COLLAPSE CARDINALS;The Journal of Symbolic Logic;2021-10-29

3. Forcing Axioms, Finite Conditions and Some More;Logic and Its Applications;2013

4. 2007 Annual Meeting of the Association for Symbolic Logic;Bulletin of Symbolic Logic;2007-09

5. Sheva-sheva-sheva: Large creatures;Israel Journal of Mathematics;2007-06

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