Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
set theory principle |
| gptkbp:doesNotImply |
axiom of choice
|
| gptkbp:formedBy |
gptkb:René-Louis_Baire
|
| https://www.w3.org/2000/01/rdf-schema#label |
axiom of dependent choice
|
| gptkbp:implies |
existence of maximal ideals in certain rings
existence of countable sequences by dependent relations |
| gptkbp:introducedIn |
1905
|
| gptkbp:isAcceptedIn |
gptkb:logic
Zermelo–Fraenkel set theory without choice (ZF) |
| gptkbp:isWeakerThan |
gptkb:axiom_of_countable_choice
axiom of choice |
| gptkbp:symbol |
gptkb:DC
|
| gptkbp:usedIn |
gptkb:topology
analysis functional analysis |
| gptkbp:bfsParent |
gptkb:countable_axiom_of_choice
gptkb:Zermelo’s_Axiom_of_Choice |
| gptkbp:bfsLayer |
8
|