Iteration of λ-complete forcing notions not collapsing λ+
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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120102018X |
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| _version_ | 1832551860734525440 |
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| author | Andrzej Rosłanowski Saharon Shelah |
| author_facet | Andrzej Rosłanowski Saharon Shelah |
| author_sort | Andrzej Rosłanowski |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1c75fa8df7bc4b579f8769f44fe08762 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1c75fa8df7bc4b579f8769f44fe087622025-02-03T06:00:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01282638210.1155/S016117120102018XIteration of λ-complete forcing notions not collapsing λ+Andrzej Rosłanowski0Saharon Shelah1Department of Mathematics, University of Nebraska at Omaha, Omaha, NE 68182-0243, USADepartment of Mathematics, Rutgers University, New Brunswick, NJ 08854, USAWe 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.http://dx.doi.org/10.1155/S016117120102018X |
| spellingShingle | Andrzej Rosłanowski Saharon Shelah Iteration of λ-complete forcing notions not collapsing λ+ International Journal of Mathematics and Mathematical Sciences |
| title | Iteration of λ-complete forcing notions not collapsing λ+ |
| title_full | Iteration of λ-complete forcing notions not collapsing λ+ |
| title_fullStr | Iteration of λ-complete forcing notions not collapsing λ+ |
| title_full_unstemmed | Iteration of λ-complete forcing notions not collapsing λ+ |
| title_short | Iteration of λ-complete forcing notions not collapsing λ+ |
| title_sort | iteration of λ complete forcing notions not collapsing λ |
| url | http://dx.doi.org/10.1155/S016117120102018X |
| work_keys_str_mv | AT andrzejrosłanowski iterationoflcompleteforcingnotionsnotcollapsingl AT saharonshelah iterationoflcompleteforcingnotionsnotcollapsingl |