On a classification of denumerable order types and an application to the partition calculus

DOI10.4064/FM-51-2-117-129zbMATH Open0111.01201OpenAlexW213603931MaRDI QIDQ3848197

Andras Hajnal, P. Erdős

Publication date: 1962

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

Full work available at URL: https://eudml.org/doc/213687

zbMATH Keywords

set theory

Mathematics Subject Classification ID

Ramsey theory (05D10) Other combinatorial set theory (03E05) Ordinal and cardinal numbers (03E10)

Related Items (14)

Partition relations on a plain product order type ⋮ Choiceless Ramsey theory of linear orders ⋮ Big Ramsey spectra of countable chains ⋮ Isotone extensions and complete lattices ⋮ Complete ordered sets with no infinite antichains ⋮ A short note on the characterization of countable chains with finite big Ramsey spectra ⋮ A Partition Theorem for Scattered Order Types ⋮ A Computation of the Maximal Order Type of the Term Ordering on Finite Multisets ⋮ Additive subgroups of countable ranks in a separably closed field ⋮ Lexicographical powers of linearly ordered sets ⋮ Countable indecomposable dispersed order types ⋮ Title not available (Why is that?) ⋮ Ordered sets with no chains of ideals of a given type ⋮ Some theorems for scattered ordered sets

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