Pair-splitting, pair-reaping and cardinal invariants ofFσ-ideals

DOI10.2178/jsl/1268917498zbMath1201.03041OpenAlexW2070052254MaRDI QIDQ3570166

Hiroaki Minami, Michael Hrušák, David Meza-Alcántara

Publication date: 24 June 2010

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

Full work available at URL: https://doi.org/10.2178/jsl/1268917498

zbMATH Keywords

Laver forcingcardinal invariants of the continuumpair-reaping numberpair-splitting number\(F_\sigma \)-idealsideal of finitely chromatic graphs

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (17)

Every maximal ideal may be Katětov above of all 𝐹_{𝜎} ideals ⋮ Intersection numbers of families of ideals ⋮ Ramsey type properties of ideals ⋮ Katětov order on Borel ideals ⋮ WAYS OF DESTRUCTION ⋮ Ideal approach to convergence in functional spaces ⋮ Some variations on the splitting number ⋮ RESTRICTED MAD FAMILIES ⋮ Generic existence of ultrafilters on the natural numbers ⋮ Rosenthal families, pavings, and generic cardinal invariants ⋮ Ideal weak QN-spaces ⋮ On Katětov and Katětov-Blass orders on analytic P-ideals and Borel ideals ⋮ Around splitting and reaping for partitions of \(\omega \) ⋮ Strong measure zero in separable metric spaces and Polish groups ⋮ Strong measure zero in Polish groups ⋮ Maximal almost disjoint families and pseudocompactness of hyperspaces ⋮ On some locally convex FK spaces

Cites Work

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• Combinatorics of dense subsets of the rationals
• Cardinal Invariants of Analytic P-Ideals

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