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 |