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https://open.uns.ac.rs/handle/123456789/28042| Title: | Forcing by non-scattered sets | Authors: | Kurilić Miloš Todorčević Stevo |
Keywords: | Non-scattered set; Linear order; Ideal; Sacks forcing; σ-closed forcing | Issue Date: | 2012 | Journal: | Annals of Pure and Applied Logic | Abstract: | We show that for each non-scattered linear order 〈L,<〉 the set of non-scattered subsets of L ordered by the inclusion is forcing equivalent to the two-step iteration of the Sacks forcing and a σ-closed forcing. If the equality or PFA holds in the ground model, then the second iterand is forcing equivalent to the algebra of the Sacks extension. | URI: | https://open.uns.ac.rs/handle/123456789/28042 | ISSN: | 0168-0072 |
| Appears in Collections: | PMF Publikacije/Publications |
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