Iteration of λ-complete forcing notions not collapsing λ+

Andrzej Rosłanowski; Saharon Shelah

doi:10.1155/S016117120102018X

International Journal of Mathematics and Mathematical Sciences (Jan 2001)

Iteration of λ-complete forcing notions not collapsing λ+

Andrzej Rosłanowski,
Saharon Shelah

Affiliations

Andrzej Rosłanowski: Department of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182-0243, USA
Saharon Shelah: Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA

DOI: https://doi.org/10.1155/S016117120102018X
Journal volume & issue: Vol. 28, no. 2
pp. 63 – 82

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/ijmms/

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