On a theorem of Kurepa for partially ordered sets and weak choice

DOI10.1007/s00605-022-01751-9OpenAlexW4292002305WikidataQ113904898 ScholiaQ113904898MaRDI QIDQ2084349

Eleftherios Tachtsis

Publication date: 18 October 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-022-01751-9

zbMATH Keywords

widthantichainpartially ordered setchainaxiom of choiceweak axioms of choiceFraenkel-Mostowski model of \({\mathsf{ZFA}} \)Kurepa's theorem

Mathematics Subject Classification ID

Partial orders, general (06A06) Combinatorics of partially ordered sets (06A07) Consistency and independence results (03E35) Axiom of choice and related propositions (03E25)

Related Items (1)

On the deductive strength of the Erdős-Dushnik-Miller theorem and two order-theoretic principles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• No decreasing sequence of cardinals
• On the minimal cover property and certain notions of finite
• Several results on compact metrizable spaces in \(\mathbf{ZF} \)
• Dilworth's decomposition theorem for posets in ZF
• ON RAMSEY’S THEOREM AND THE EXISTENCE OF INFINITE CHAINS OR INFINITE ANTI-CHAINS IN INFINITE POSETS
• On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements
• Limitations on the Fraenkel-Mostowski method of independence proofs
• The axiom of choice and linearly ordered sets
• Partial choice functions for families of finite sets
• Axioms of multiple choice
• The independence of the axiom of choice from the Boolean prime ideal theorem
• Homogeneous Universal Relational Systems.
• The independence of Ramsey's theorem
• A Proof of the Maximal Chain Theorem
• The axiom of choice

This page was built for publication: On a theorem of Kurepa for partially ordered sets and weak choice