Abraham–Rubin–Shelah open colorings and a large continuum

DOI10.1142/S0219061321500276MaRDI QIDQ5081948

Itay Neeman, Thomas Gilton

Publication date: 17 June 2022

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

Full work available at URL: https://arxiv.org/abs/1904.10516

zbMATH Keywords

large continuumpreassignmentsAbraham-Rubin-Shelah OCA

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)

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Cites Work

• 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
• Changing cardinal characteristics without changing \(\omega\)-sequences or cofinalities
• Partition Problems in Topology
• Open colorings, the continuum and the second uncountable cardinal
• The null ideal restricted to some non-null set may be \aleph₁-saturated
• Αll $ℵ_1$-dense sets of reals can be isomorphic
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