On the comparability of cardinals in the absence of the axiom of choice

DOI10.4064/FM376-11-2017zbMath1459.03081OpenAlexW2802615715WikidataQ113999231 ScholiaQ113999231MaRDI QIDQ4581990

Eleftherios Tachtsis

Publication date: 21 August 2018

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

Full work available at URL: https://doi.org/10.4064/fm376-11-2017

zbMATH Keywords

axiom of choicecardinalsDedekind setsDedekind-finite setsJech-Sochor embedding theoremssymmetric models of ZFweak axioms of choiceRamsey's theorem for pairscomparability of cardinalsFraenkel-Mostowski (FM) permutation models of ZFAwell-ordered cardinals

Mathematics Subject Classification ID

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

Cites Work

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• Graph colorings and the axiom of choice
• ON RAMSEY’S THEOREM AND THE EXISTENCE OF INFINITE CHAINS OR INFINITE ANTI-CHAINS IN INFINITE POSETS
• The axiom of choice

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