Partition principles and infinite sums of cardinal numbers

DOI10.1305/ndjfl/1040149358zbMath0843.03027OpenAlexW2093708376MaRDI QIDQ1906673

Masasi Higasikawa

Publication date: 4 February 1996

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1040149358

zbMATH Keywords

weak forms of the axiom of choicepartition principle

Mathematics Subject Classification ID

Axiom of choice and related propositions (03E25)

Related Items (1)

No decreasing sequence of cardinals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The dual Cantor-Bernstein theorem and the partition principle
• Equivalents of the axiom of choice. 2nd ed
• The axiom of choice for countable collections of countable sets does not imply the countable union theorem
• Cardinal representatives
• An Archimedean property of cardinal algebras
• An independence result concerning the axiom of choice
• Cardinals m such that 2m = m
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
• Sur une proposition qui entraîne l'existence des ensembles non mesurables
• Cancellation laws in the arithmetic of cardinals
• The axiom of choice

This page was built for publication: Partition principles and infinite sums of cardinal numbers