Martin's axioms, measurability and equiconsistency results

DOI10.2307/2275017zbMath0673.03040OpenAlexW2133220150WikidataQ114589019 ScholiaQ114589019MaRDI QIDQ3826546

Jaime I. Ihoda, Saharon Shelah

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2307/2275017

zbMATH Keywords

weakly compact cardinalLebesgue measurableMartin's AxiomRamsey setproperty of Baireequiconsistency results

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50)

Related Items (9)

Fragments of Martin's axiom and \(\Delta_ 3^ 1\) sets of reals ⋮ Projective forcing ⋮ The topology of ultrafilters as subspaces of \(2^{\omega }\) ⋮ The stationarity of the collection of the locally regulars ⋮ Exact equiconsistency results for \(\Delta_ 3^ 1\)-sets of reals ⋮ Iteration of Souslin forcing, projective measurability and the Borel conjecture ⋮ Filter games and pathological subgroups of a countable product of lines ⋮ Retracted: Baire property and axiom of choice ⋮ Summable gaps

Cites Work

• Some exact equiconsistency results in set theory
• Can you take Solovay's inaccessible away?
• A mathematical proof of S. Shelah's theorem on the measure problem and related results
• A model of set-theory in which every set of reals is Lebesgue measurable
• Internal cohen extensions

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