Axiom of Choice Equivalences and Some Applications
In this paper several equivalences of the axiom of choice are examined. In particular, the axiom of choice, Zorn's lemma, Tukey's lemma, the Hausdorff maximal principle, and the well-ordering theorem are shown to be equivalent. Cardinal and ordinal number theory is also studied. The Schrod...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | English |
| Published: |
North Texas State University
1983
|
| Subjects: | |
| Online Access: | https://digital.library.unt.edu/ark:/67531/metadc504170/ |