Zermelo’s well-ordering theorem
If is any set whatsoever, then there exists a well-ordering of . The well-ordering theorem is equivalent
to the Axiom of Choice
.
| Title | Zermelo’s well-ordering theorem |
| Canonical name | ZermelosWellorderingTheorem |
| Date of creation | 2013-03-22 12:58:55 |
| Last modified on | 2013-03-22 12:58:55 |
| Owner | yark (2760) |
| Last modified by | yark (2760) |
| Numerical id | 5 |
| Author | yark (2760) |
| Entry type | Theorem |
| Classification | msc 03E25 |
| Synonym | well-ordering principle |
| Related topic | EquivalenceOfTheAxiomOfChoiceAndTheWellOrderingTheorem |
| Related topic | EquivalenceOfTheAxiomOfChoiceAndTheWellOrderingTheorem2 |
| Related topic | HaudorffsMaximumPrinciple |
| Related topic | ZornsLemmeAndTheWellOrderingTheoremEquivalenceOfHaudorffsMaximumPrinciple |
| Related topic | ZornsLemmaAndTheWellOrderingTheoremEquiv |