scientific article

zbMath0643.03033MaRDI QIDQ3784060

Stevo Todorčević, Boban Velickovic

Publication date: 1987

Full work available at URL: http://www.numdam.org/item?id=CM_1987__63_3_391_0

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zbMATH Keywords

forcingMAAronszajn treecompact Hausdorff spacecountable chain conditionpartition calculusstructure of ccc posets

Mathematics Subject Classification ID

Partial orders, general (06A06) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05)

Related Items (16)

Cofinality spectrum theorems in model theory, set theory, and general topology ⋮ Partitioning pairs of countable ordinals ⋮ Dense metrizable subspaces in powers of Corson compacta ⋮ Morasses, square and forcing axioms ⋮ A forcing axiom for a non-special Aronszajn tree ⋮ Two chain conditions and their Todorčević's fragments of Martin's axiom ⋮ The relative strengths of fragments of Martin's axiom ⋮ What makes the continuum ℵ₂ ⋮ A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees ⋮ Forcing axioms via ground model interpretations ⋮ Cellularity of covariant functors ⋮ Forcing axioms and stationary sets ⋮ Uniformizing ladder system colorings and the rectangle refining property ⋮ Countable chain condition in partition calculus ⋮ A characterization of productive cellularity ⋮ Ken's colorful questions

Cites Work

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• Partitioning pairs of countable ordinals
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Iterated Cohen extensions and Souslin's problem
• Between Martin's Axiom and Souslin's Hypothesis
• On the combinatorial principle P(c)
• STRUCTURE AND CLASSIFICATION OF TOPOLOGICAL SPACES AND CARDINAL INVARIANTS
• Internal cohen extensions
• On some problems of Hausdorff and of Sierpiński

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