Unions and the axiom of choice
Copyright policy )Unions and the axiom of choice
AbstractWe study statements about countable and well‐ordered unions and their relation to each other and to countable and well‐ordered forms of the axiom of choice. Using WO as an abbreviation for “well‐orderable”, here are two typical results: The assertion that every WO family of countable sets has a WO union does not imply that every countable family of WO sets has a WO union; the axiom of choice for WO families of WO sets does not imply that the countable union of countable sets is WO. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- University of Chicago United States
- University of Missouri United States
- Eastern Michigan University United States
- University of the Aegean Greece
- University of Missouri–Kansas City United States
Subgroups of symmetric groups, unions, axiom of choice, weak axioms of choice, Axiom of choice and related propositions, Consistency and independence results
Subgroups of symmetric groups, unions, axiom of choice, weak axioms of choice, Axiom of choice and related propositions, Consistency and independence results
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