Unions and the axiom of choice

Mathematical Logic Quarterly 54 (6):652-665 (2008)


We 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

Download options


    Upload a copy of this work     Papers currently archived: 72,879

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library


Added to PP

54 (#214,303)

6 months
1 (#386,016)

Historical graph of downloads
How can I increase my downloads?

References found in this work

[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
Consequences of the Axiom of Choice.Paul Howard & Jean E. Rubin - 2005 - Bulletin of Symbolic Logic 11 (1):61-63.

View all 6 references / Add more references

Citations of this work

No citations found.

Add more citations

Similar books and articles