Mathias-Prikry and Laver-Prikry type forcing

DOI10.1016/j.apal.2013.11.003zbMath1306.03023OpenAlexW2088916361MaRDI QIDQ386153

Hiroaki Minami, Michael Hrušák

Publication date: 16 December 2013

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.2013.11.003

zbMATH Keywords

dominating realMathias-Prikry forcing\(P^+\) idealCanjar filterLaver-Prikry forcingMartin number

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Other aspects of forcing and Boolean-valued models (03E40)

Related Items

Mathias-Prikry and Laver type forcing; summable ideals, coideals, and \(+\)-selective filters ⋮ Ideals and their generic ultrafilters ⋮ Filter-Laver measurability ⋮ Indestructibility of ideals and MAD families ⋮ Katětov order on Borel ideals ⋮ WAYS OF DESTRUCTION ⋮ Mathias and silver forcing parametrized by density ⋮ A simple \(P_{\aleph_1}\)-point and a simple \(P_{\aleph_2}\)-point ⋮ Towers, mad families, and unboundedness ⋮ The Baire category of subsequences and permutations which preserve limit points ⋮ Cardinal coefficients associated to certain orders on ideals ⋮ Menger remainders of topological groups ⋮ MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS ⋮ TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES ⋮ The ultrafilter and almost disjointness numbers ⋮ On strong $P$-points

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