Partition Algebras for Almost-Disjoint Families

DOI10.2307/1999123zbMath0515.03032OpenAlexW4255357026MaRDI QIDQ3661569

Martin Weese, James E. Baumgartner

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999123

zbMATH Keywords

Boolean algebraforcingMartin's axiomcontinuum hypothesisgeneric setsRothberger propertyalmost-disjoint

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Structure theory of Boolean algebras (06E05)

Related Items (14)

A Banach space induced by an almost disjoint family, admitting only few operators and decompositions ⋮ In memoriam: James Earl Baumgartner (1943--2011) ⋮ On the cardinality of separable pseudoradial spaces ⋮ Fibers of continuous real-valued functions on \(\psi\)-spaces ⋮ Strong zero-dimensionality of products of ordinals. ⋮ Ordinal remainders of \(\psi \)-spaces ⋮ Separation in \(\Psi\)-spaces ⋮ Remarks on Partitioner Algebras ⋮ Ordering MAD families a la Katětov ⋮ Projective versions of selection principles ⋮ Topology of Mrówka-Isbell Spaces ⋮ Partitioner-Representable Algebras ⋮ Partition subalgebras for maximal almost disjoint families ⋮ Applications of another characterization of \(\beta{\mathbb N}\setminus{\mathbb N}\)

Cites Work

• Unnamed Item
• Classifying almost-disjoint families with applications to \(\beta N-N\)
• Between Martin's Axiom and Souslin's Hypothesis
• On the combinatorial principle P(c)
• Mad Families and Ultrafilters
• Happy families
• Short complete nested sequences in βN⧹N and small maximal almost-disjoint families
• On some problems of Hausdorff and of Sierpiński

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