Definable forcing axiom: An alternative to Martin's axiom

DOI10.1016/0166-8641(90)90112-FzbMath0702.03031OpenAlexW1981512337WikidataQ114684102 ScholiaQ114684102MaRDI QIDQ914667

William G. Fleissner, Eric K. van Douwen

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90112-f

zbMATH Keywords

forcingLuzin setMartin's AxiomContinuum Hypothesis

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50)

Related Items (10)

Nonpreservation of properties of topological groups on taking their square ⋮ Algebraic properties of the class of Sierpiński-Zygmund functions ⋮ Splittings ⋮ Martin's axiom and the continuum ⋮ Small cardinals and small Efimov spaces ⋮ Simple forcing notions and forcing axioms ⋮ One-dimensional locally connected S-spaces ⋮ Nonnormality or hereditary paracompactness of some spaces of real functions ⋮ Pseudocompact groups without converging sequences ⋮ A locally connected continuum without convergent sequences

Cites Work

• A class of consistent anti-Martin's axioms
• Sacks forcing and the total failure of Martin's axiom
• When the continuum has cofinality \(\omega _ 1\)
• Set theory. An introduction to independence proofs
• Remarks on Boolean algebras
• On dual \(L^1\)-spaces and injective bidual Banach spaces
• A model of set-theory in which every set of reals is Lebesgue measurable
• Iterated Cohen extensions and Souslin's problem
• UFA fails in the Bell-Kunen model
• Cardinal Arithmetic and ℵ 1 -Borel Sets
• A compact space having the cardinality of the continuum with no convergent sequences
• Internal cohen extensions
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