Ordering MAD families a la Katětov

DOI10.2178/jsl/1067620190zbMath1055.03027OpenAlexW2078686495MaRDI QIDQ4650287

Michael Hrušák, Salvador García-Ferreira

Publication date: 9 February 2005

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1067620190

zbMATH Keywords

forcingantichainsmaximal almost disjoint familiesindestructibilityKatětov orderdecreasing chainsRudin-Keisler ordering of filters

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (19)

Almost Disjoint Families and Diagonalizations of Length Continuum ⋮ Some structural aspects of the Katětov order on Borel ideals ⋮ No interesting sequential groups ⋮ Indestructibility of ideals and MAD families ⋮ Katětov order on Borel ideals ⋮ Fréchet-like properties and almost disjoint families ⋮ RESTRICTED MAD FAMILIES ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ The special tree number ⋮ P-like properties of meager ideals and cardinal invariants ⋮ Ordinal remainders of \(\psi \)-spaces ⋮ There is a +-Ramsey \(\mathsf{MAD}\) family ⋮ Malykhin's problem ⋮ GENERIC EXISTENCE OF MAD FAMILIES ⋮ Forcing indestructibility of MAD families ⋮ The ultrafilter and almost disjointness numbers ⋮ More on MAD families and \(P\)-points ⋮ Topology of Mrówka-Isbell Spaces ⋮ MAD families and strategically bounding forcings

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