Generalizations of Cantor's theorem in

DOI10.1002/MALQ.201600039zbMath1469.03129OpenAlexW2771826017MaRDI QIDQ5108121

Guozhen Shen

Publication date: 29 April 2020

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

Full work available at URL: https://doi.org/10.1002/malq.201600039

Mathematics Subject Classification ID

Ordinal and cardinal numbers (03E10) Axiom of choice and related propositions (03E25)

Related Items (6)

Remarks on infinite factorials and cardinal subtraction in ZF$\mathsf{ZF}$ ⋮ The power set and the set of permutations with finitely many non‐fixed points of a set ⋮ FACTORIALS OF INFINITE CARDINALS IN ZF PART I: ZF RESULTS ⋮ FACTORIALS OF INFINITE CARDINALS IN ZF PART II: CONSISTENCY RESULTS ⋮ A GENERALIZED CANTOR THEOREM IN ⋮ A note on strongly almost disjoint families

Cites Work

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• A note on weakly Dedekind finite sets
• Non-constructive properties of cardinal numbers
• Verallgemeinerte Kontinuumshypothese und Auswahlaxiom
• Relations Between Some Cardinals in the Absence of the Axiom of Choice
• Combinatorial Set Theory
• Classes of Dedekind finite cardinals
• The well‐ordered and well‐orderable subsets of a set
• Consequences of arithmetic for set theory
• Finite-to-one maps
• Dualisation of a Result of Specker's

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