On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements

DOI10.1002/malq.201400089zbMath1377.03036OpenAlexW2396052486MaRDI QIDQ2813671

Denis I. Saveliev, Eleftherios Tachtsis, Paul E. Howard

Publication date: 24 June 2016

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

Full work available at URL: https://doi.org/10.1002/malq.201400089

zbMATH Keywords

partially ordered setsaxiom of choicedeductive strength

Mathematics Subject Classification ID

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

Related Items (7)

On the minimal cover property and certain notions of finite ⋮ MA(ℵ0) restricted to complete Boolean algebras and choice ⋮ Maximal independent sets, variants of chain/antichain principle and cofinal subsets without AC ⋮ On \(P\)-spaces and \(G_{\delta}\)-sets in the absence of the axiom of choice ⋮ Several results on compact metrizable spaces in \(\mathbf{ZF} \) ⋮ On a theorem of Kurepa for partially ordered sets and weak choice ⋮ On the interrelation of a theorem of Juhász and certain weak axioms of choice

Cites Work

• On the Existence of Free Ultrafilters on ω and on Russell-sets in ZF
• On the strength of the Sikorski extension theorem for Boolean algebras
• The axiom of choice and linearly ordered sets
• Axioms of multiple choice
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
• Unnamed Item

This page was built for publication: On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements