Mathias-Prikry and Laver type forcing; summable ideals, coideals, and \(+\)-selective filters

DOI10.1007/s00153-016-0476-9zbMath1345.03090arXiv1501.02400OpenAlexW2226710049MaRDI QIDQ283119

Michael Hrušák, David Chodounský, Osvaldo Guzmán González

Publication date: 13 May 2016

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02400

zbMATH Keywords

\(\omega\)-hitting\(+\)-selective filterdominating realeventually different reallaver type forcingMathias like realMathias-Prikry forcing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (6)

Ideals and their generic ultrafilters ⋮ Maximal almost disjoint families, determinacy, and forcing ⋮ PRODUCTS OF HUREWICZ SPACES IN THE LAVER MODEL ⋮ On the structure of Borel ideals in-between the ideals \(\mathcal{ED}\) and fin \(\otimes\) fin in the Katětov order ⋮ Selection principles in the Laver, Miller, and Sacks models ⋮ On well-splitting posets

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