Fragments of Martin's axiom and \(\Delta_ 3^ 1\) sets of reals

DOI10.1016/0168-0072(94)90017-5zbMath0810.03044OpenAlexW1988339238WikidataQ114016506 ScholiaQ114016506MaRDI QIDQ1337354

Joan Bagaria

Publication date: 3 November 1994

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(94)90017-5

zbMATH Keywords

Martin's axiomAronszajn treeinaccessible cardinalBaire property\(\Delta_ 3^ 1\)-set

Mathematics Subject Classification ID

Descriptive set theory (03E15) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50)

Related Items

Projective forcing, The relative strengths of fragments of Martin's axiom, A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees, Some weak fragments of Martin's axiom related to the rectangle refining property, sets of reals, Bounded forcing axioms and the continuum, Diamond principles in Cichoń's diagram, Summable gaps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jumping with random reals
• Some exact equiconsistency results in set theory
• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Can you take Solovay's inaccessible away?
• Partitioning pairs of countable ordinals
• Set theory. An introduction to independence proofs
• A model of set-theory in which every set of reals is Lebesgue measurable
• Iterated Cohen extensions and Souslin's problem
• Two Examples of Borel Partially Ordered Sets with the Countable Chain Condition
• Random Reals and Souslin Trees
• Souslin forcing
• Martin's axioms, measurability and equiconsistency results
• Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
• Logic with the quantifier “there exist uncountably many”
• Internal cohen extensions