Kuratowski’s lemma
Any chain in an ordered set is contained in a maximal chain.
This proposition is equivalent
to the axiom of choice
.
| Title | Kuratowski’s lemma |
| Canonical name | KuratowskisLemma |
| Date of creation | 2013-03-22 13:13:39 |
| Last modified on | 2013-03-22 13:13:39 |
| Owner | Koro (127) |
| Last modified by | Koro (127) |
| Numerical id | 6 |
| Author | Koro (127) |
| Entry type | Theorem |
| Classification | msc 03E25 |
| Related topic | AxiomOfChoice |
| Related topic | TukeysLemma |
| Related topic | ZermelosWellOrderingTheorem |
| Related topic | ZornsLemma |
| Related topic | ZermelosPostulate |
| Related topic | EveryVectorSpaceHasABasis |