Ramsey's theorem and König's lemma

DOI10.1007/S00153-006-0025-ZzbMath1114.03038OpenAlexW2093301140WikidataQ124866322 ScholiaQ124866322MaRDI QIDQ866890

T. E. Forster, John K. Truss

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1007/s00153-006-0025-z

zbMATH Keywords

Ramsey's theoremAxiom of choiceKönig's lemma

Mathematics Subject Classification ID

Axiom of choice and related propositions (03E25)

Related Items (5)

Countable sets versus sets that are countable in reverse mathematics ⋮ König's lemma, weak König's lemma, and the decidable fan theorem ⋮ Hindman’s theorem in the hierarchy of choice principles ⋮ ON RAMSEY’S THEOREM AND THE EXISTENCE OF INFINITE CHAINS OR INFINITE ANTI-CHAINS IN INFINITE POSETS ⋮ On the Mikusiński-Antosik diagonal theorem and the equivalence of two types of convergence in Köthe spaces

Cites Work

• Unnamed Item
• The structure of amorphous sets
• Ramsey's theorem in the hierarchy of choice principles
• The independence of Ramsey's theorem

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