Doughnuts, floating ordinals, square brackets, and ultraflitters

DOI10.2307/2586548zbMath0948.03041OpenAlexW2009158477MaRDI QIDQ4953231

James M. Henle, Carlos Augusto Di Prisco

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.2307/2586548

zbMATH Keywords

ultrafilterpartition propertyAxiom of Choice

Mathematics Subject Classification ID

Consistency and independence results (03E35) Partition relations (03E02) Axiom of choice and related propositions (03E25)

Related Items (6)

Mathias and silver forcing parametrized by density ⋮ Cichoń's diagram, regularity properties and \(\varDelta^1_3\) sets of reals ⋮ On splitting trees ⋮ On the ideal \((v^{0})\) ⋮ Parameterized partition relations on the real numbers ⋮ There are no P-points in Silver extensions

Cites Work

• A dual form of Ramsey's theorem
• Can you take Solovay's inaccessible away?
• A partition calculus in set theory
• Countable partitions of product spaces
• Happy families

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