Open colorings, the continuum and the second uncountable cardinal

DOI10.1090/S0002-9939-02-06376-1zbMath0994.03046MaRDI QIDQ4330602

Justin Tatch Moore

Publication date: 13 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

oscillation mapOCAcontinuum problemopen coloringalternation map

Mathematics Subject Classification ID

Other set-theoretic hypotheses and axioms (03E65)

Related Items (10)

Abraham–Rubin–Shelah open colorings and a large continuum ⋮ Some remarks on the open coloring axiom ⋮ On the cardinality of separable pseudoradial spaces ⋮ What makes the continuum ℵ₂ ⋮ Arcs in the plane ⋮ CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS ⋮ A dual open coloring axiom ⋮ Combinatorial Dichotomies in Set Theory ⋮ Ken's colorful questions ⋮ Nonseparable growth of the integers supporting a measure

Cites Work

• Unnamed Item
• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Forcing axioms and stationary sets
• Perfect-set properties in \(L(\mathbb{R})[U\)]
• The axiom of determinacy, forcing axioms, and the nonstationary ideal
• Continuous colorings associated with certain characteristics of the continuum
• Partition Problems in Topology
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

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