A proof (involving Martin's axiom) of a partition relation

DOI10.4064/fm-78-3-193-203zbMath0257.02054OpenAlexW1480170717WikidataQ114573842 ScholiaQ114573842MaRDI QIDQ5672902

James E. Baumgartner, Andras Hajnal

Publication date: 1973

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/214521

Mathematics Subject Classification ID

Descriptive set theory (03E15) Other combinatorial set theory (03E05)

Related Items (30)

Partition relations for partially ordered sets ⋮ Extending ideals ⋮ Effect of a random real on \(\kappa\to \left(\kappa,{\alpha \choose \omega_ 1}\right)^ 2\) ⋮ Random reals and the relation \(\omega_ 1\to (\omega_ 1,(\alpha:n))^ 2\) ⋮ Free sets for some special set mappings ⋮ A Partition Theorem for Triples ⋮ Changing the Depth of an Ordered Set by Decomposition ⋮ Even more on partitioning triples of countable ordinals ⋮ Narrow coverings of \(\omega\)-ary product spaces ⋮ On a metric generalization of Ramsey's theorem ⋮ Many partition relations below density ⋮ In memoriam: James Earl Baumgartner (1943--2011) ⋮ On the absoluteness of \(\aleph_1\)-freeness ⋮ Forcing and the universe of sets: must we lose insight? ⋮ More results in polychromatic Ramsey theory ⋮ Distinguishing subgroups of the rationals by their Ramsey properties ⋮ A theory of stationary trees and the balanced Baumgartner-Hajnal-Todorcevic theorem for trees ⋮ A partition relation for triples using a model of Todorčević ⋮ A polarized partition relation for cardinals of countable cofinality ⋮ Partition relations for successor cardinals ⋮ On set systems having paradoxical covering properties ⋮ Partitioning triples and partially ordered sets ⋮ Laver and set theory ⋮ A note on feebly continuous functions ⋮ The topological Baumgartner-Hajnal theorem ⋮ Embedding Graphs into Colored Graphs ⋮ Notes on combinatorial set theory ⋮ More on partitioning triples of countable ordinals ⋮ Countable chain condition in partition calculus ⋮ On the limit superior of analytic sets

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