Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:mathematical_concept |
| gptkbp:abbreviation |
AC_ω
|
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:formedBy |
gptkb:Ernst_Zermelo
|
| gptkbp:implies |
axiom of countable choice for sets of real numbers
|
| gptkbp:isWeakerThan |
gptkb:axiom_of_dependent_choice
axiom of choice |
| gptkbp:relatedTo |
gptkb:axiom_of_countable_choice
gptkb:axiom_of_dependent_choice axiom of choice |
| gptkbp:sentence |
Every countable family of non-empty sets has a choice function.
|
| gptkbp:usedIn |
gptkb:analysis
gptkb:topology functional analysis |
| gptkbp:bfsParent |
gptkb:Kőnig's_lemma
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
countable axiom of choice
|