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External cofinalities and the antichain condition in partial orders

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Publication:2493907
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DOI10.1016/j.apal.2005.09.005zbMath1099.03034OpenAlexW2017401893MaRDI QIDQ2493907

Isaac Gorelic

Publication date: 16 June 2006

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2005.09.005


zbMATH Keywords

antichainpartial ordersexternal cofinalitiessingular cofinality


Mathematics Subject Classification ID

Partial orders, general (06A06) Other combinatorial set theory (03E05) Ordinal and cardinal numbers (03E10) Ordered sets and their cofinalities; pcf theory (03E04)


Related Items (2)

Antichains in partially ordered sets of singular cofinality ⋮ On the consistency strength of the Milner-Sauer conjecture



Cites Work

  • On the width of ordered sets and Boolean algebras
  • Complete subgraphs of infinite multipartite graphs and antichains in partially ordered sets
  • Remarks on the cofinality of a partially ordered set, and a generalization of König's lemma
  • Directed Sets and Cofinal Types
  • The Cofinality of a Partially Ordered Set
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