On Extensions of Elementary Submodels by Forcing
We study when a partial order ℙ preserves certain properties of an elementary submodel (of a structure of the form Hθ), including countable closure and ω-covering. In particular, we discuss the existence of ω-covering elementary submodels of different sizes.
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| Veröffentlicht in: | Logic journal of the IGPL 2007, Vol.15 (5-6), p.637-651 |
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| container_end_page | 651 |
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| container_issue | 5-6 |
| container_start_page | 637 |
| container_title | Logic journal of the IGPL |
| container_volume | 15 |
| creator | Junqueira, Lúcia R. Larson, Paul Passos, Marcelo D. |
| description | We study when a partial order ℙ preserves certain properties of an elementary submodel (of a structure of the form Hθ), including countable closure and ω-covering. In particular, we discuss the existence of ω-covering elementary submodels of different sizes. |
| doi_str_mv | 10.1093/jigpal/jzm043 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1367-0751 |
| ispartof | Logic journal of the IGPL, 2007, Vol.15 (5-6), p.637-651 |
| issn | 1367-0751 1368-9894 |
| language | eng |
| recordid | cdi_proquest_journals_232882234 |
| source | Business Source Complete; Oxford University Press Journals All Titles (1996-Current) |
| subjects | elementary submodels forcing ω-covering |
| title | On Extensions of Elementary Submodels by Forcing |
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