Mathias Forcing which does not Add Dominating Reals

DOI10.2307/2047620zbMath0691.03030OpenAlexW4234572961MaRDI QIDQ3032244

R. Michael Canjar

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047620

zbMATH Keywords

ultrafilterMathias forcingRudin-Keisler orderP-pointsdominating family of reals

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (17)

Mathias-Prikry and Laver type forcing; summable ideals, coideals, and \(+\)-selective filters ⋮ $\omega $-diagonalizability of $F_\sigma $ filters ⋮ Indestructibility of ideals and MAD families ⋮ Mathias-Prikry and Laver-Prikry type forcing ⋮ WAYS OF DESTRUCTION ⋮ The density zero ideal and the splitting number ⋮ Mathias and silver forcing parametrized by density ⋮ Splitting positive sets ⋮ Special ultrafilters and cofinal subsets of \(({}^\omega \omega, <^*)\) ⋮ Adding ultrafilters by definable quotients ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ Menger remainders of topological groups ⋮ The ultrafilter and almost disjointness numbers ⋮ Unbounded families and the cofinality of the infinite symmetric group ⋮ Ultrafilters with small generating sets ⋮ On strong $P$-points ⋮ Ultrafilters on 𝜔-their ideals and their cardinal characteristics

Cites Work

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• Near coherence of filters. III: A simplified consistency proof
• Near coherence of filters. I: Cofinal equivalence of models of arithmetic
• Countable ultraproducts without CH
• There are no Q-Points in Laver's Model for the Borel Conjecture
• On a Ubiquitous Cardinal
• On the existence of P-points in the Stone-Čech compactification of integers
• Happy families

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