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International Journal of Mathematics and Mathematical Sciences

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International Journal of Mathematics and Mathematical Sciences / 2001 / Article

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Volume 28 |Article ID 642040 | https://doi.org/10.1155/S016117120102018X

Andrzej Rosłanowski, Saharon Shelah, "Iteration of -complete forcing notions not collapsing ", International Journal of Mathematics and Mathematical Sciences, vol. 28, Article ID 642040, 20 pages, 2001. https://doi.org/10.1155/S016117120102018X

Iteration of λ-complete forcing notions not collapsing λ+

Andrzej Rosłanowski1 and Saharon Shelah2,3

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

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

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

Received25 Feb 2001
Revised06 Aug 2001

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.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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