The relative strengths of fragments of Martin's axiom
From MaRDI portal
Publication:6073908
DOI10.1016/j.apal.2023.103330OpenAlexW4383197909MaRDI QIDQ6073908
Publication date: 12 October 2023
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apal.2023.103330
Martin's axiomcountable chain conditionspecial Aronszajn treeSuslin's hypothesisadditivity of measureproductively-ccc poset
Large cardinals (03E55) Graphs, diagram schemes, precategories (18A10) Other set-theoretic hypotheses and axioms (03E65) Foundations, relations to logic and deductive systems (18A15)
Cites Work
- Why Y-c.c.
- A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees
- A correction to ``A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees
- Random set-mappings and separability of compacta
- Adding a Cohen real adds an entangled linear order
- Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable
- Some weak fragments of Martin's axiom related to the rectangle refining property
- 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?
- Partition relations for partially ordered sets
- Set theory. An introduction to independence proofs
- Topics in set theory. Lebesgue measurability, large cardinals, forcing axioms, rho-functions
- Infinite Abelian groups, Whitehead problem and some constructions
- A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
- On partitions of the real line
- Fragments of Martin's axiom and \(\Delta_ 3^ 1\) sets of reals
- Projective forcing
- Summable gaps
- More set-theory for topologists
- Continuous colorings associated with certain characteristics of the continuum
- Choiceless chain conditions
- Walks on ordinals and their characteristics
- Iterated Cohen extensions and Souslin's problem
- Chain conditions in maximal models
- Katetov’s problem
- Between Martin's Axiom and Souslin's Hypothesis
- SUITABLE EXTENDER MODELS I
- Two Examples of Borel Partially Ordered Sets with the Countable Chain Condition
- Generic absoluteness under projective forcing
- On partial orderings having precalibre-ℵ1and fragments of Martin's axiom
- Finite support iteration and strong measure zero sets
- Random gaps
- On the combinatorial principle P(c)
- On ideals of subsets of the plane and on Cohen reals
- Random Reals and Souslin Trees
- Souslin forcing
- Chains and antichains in
- Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
- Remarks on Martin's Axiom and the Continuum Hypothesis
- Partition Problems in Topology
- Normality in X 2 for Compact X
- A characterization of Martin's axiom in terms of absoluteness
- sets of reals
- On the consistency of the Definable Tree Property on ℵ1
- Where MA first fails
- Set Theory
- Embedding Trees in the Rationals
- Internal cohen extensions
- Essentially unbounded chains in compact sets
- Complete normality of cartesian products
- Measures in Boolean Algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The relative strengths of fragments of Martin's axiom
