WEAK DIAMOND AND OPEN COLORINGS

DOI10.1142/S0219061303000194zbMath1029.03040OpenAlexW2069452876MaRDI QIDQ4408484

Justin Tatch Moore

Publication date: 8 February 2004

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

Full work available at URL: https://doi.org/10.1142/s0219061303000194

zbMATH Keywords

open coloring axiomweak diamondrelative consistency

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other set-theoretic hypotheses and axioms (03E65)

Cites Work

• Random set-mappings and separability of compacta
• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• The axiom of determinacy, forcing axioms, and the nonstationary ideal
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• Iterated Cohen extensions and Souslin's problem
• Chain conditions in maximal models
• Katetov’s problem
• Partition Problems in Topology

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