Article contents
Unions of well-ordered sets
Published online by Cambridge University Press: 09 April 2009
Abstract
In Zermelo-Fraenkel set theory weakened to permit the existence of atoms and without the axiom of choice we investigate the deductive strength of five statements which make assertions about the cardinality of the union of a well-ordered collection of sets. All five of the statements considered are consequences of the axiom of choice.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 56 , Issue 1 , February 1994 , pp. 117 - 124
- Copyright
- Copyright © Australian Mathematical Society 1994
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