GENERIC EXISTENCE OF MAD FAMILIES

DOI10.1017/jsl.2016.54zbMath1431.03065OpenAlexW2603663238MaRDI QIDQ5738204

Osvaldo Guzmán González, Carlos Azarel Martínez-Ranero, Michael Hrušák, Ulises Ariet Ramos-García

Publication date: 1 June 2017

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2016.54

zbMATH Keywords

forcingMAD familiescardinal invariants of the continuum

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (7)

Indestructibility of ideals and MAD families ⋮ RESTRICTED MAD FAMILIES ⋮ P-like properties of meager ideals and cardinal invariants ⋮ Almost-normality of Isbell-Mrówka spaces ⋮ MADNESS IN VECTOR SPACES ⋮ Maximal almost disjoint families and pseudocompactness of hyperspaces ⋮ Madness and weak forms of normality

Cites Work

• Forcing with quotients
• Forcing indestructibility of MAD families
• Splittings
• Cohen-stable families of subsets of integers
• Combinatorial Cardinal Characteristics of the Continuum
• MAD Saturated Families and SANE Player
• On Weakly Tight Families
• On the Generic Existence of Special Ultrafilters
• Parametrized $\diamondsuit $ principles
• Ordering MAD families a la Katětov
• The almost-disjointness number may have countable cofinality
• Combinatorics of dense subsets of the rationals
• On the Covering and the Additivity Number of the Real Line
• A special class of almost disjoint families
• Splitting Families and Complete Separability
• Ultrafilters and Independent Sets
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