Forcing by non-scattered sets

DOI10.1016/j.apal.2012.02.004zbMath1250.03102OpenAlexW2063349669MaRDI QIDQ435203

Miloš S. Kurilić, Stevo Todorčević

Publication date: 11 July 2012

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2012.02.004

zbMATH Keywords

ideallinear orderSacks forcing\(\sigma\)-closed forcingnon-scattered set

Mathematics Subject Classification ID

Consistency and independence results (03E35) Total orders (06A05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (13)

The poset of all copies of the random graph has the 2-localization property ⋮ Antichains of copies of ultrahomogeneous structures ⋮ Condensational equivalence, equimorphism, elementary equivalence and similar similarities ⋮ Maximal chains of copies of the rational line ⋮ Posets of copies of countable scattered linear orders ⋮ Posets of copies of countable non-scattered labeled linear orders ⋮ Different similarities ⋮ Forcing with copies of the Rado and Henson graphs ⋮ Oscillation stability for continuous monotone surjections ⋮ Isomorphic and strongly connected components ⋮ Maximal chains of isomorphic suborders of countable ultrahomogeneous partial orders. ⋮ Forcing with copies of countable ordinals ⋮ Copies of the random graph

Cites Work

• Unnamed Item
• Forcing with quotients
• Analytic Hausdorff gaps. II: The density zero ideal
• Sacks reals and Martin's axiom
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

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