The axiom of choice for countable collections of countable sets does not imply the countable union theorem.
Paul E. Howard
Source: Notre Dame J. Formal Logic Volume 33, Number 2
(1992), 236-243.
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Permanent link to this document: http://projecteuclid.org/euclid.ndjfl/1093636102
Zentralblatt MATH identifier: 0760.03014
Mathematical Reviews number (MathSciNet): MR1167981
Digital Object Identifier: doi:10.1305/ndjfl/1093636102
Notre Dame Journal of Formal Logic