Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:alternativeName |
universe axiom
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck universe axiom
|
| gptkbp:implies |
existence of inaccessible cardinals
|
| gptkbp:introducedIn |
gptkb:Alexander_Grothendieck
1960s |
| gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
|
| gptkbp:state |
For every set x, there is a Grothendieck universe U such that x ∈ U.
|
| gptkbp:usedFor |
foundations of category theory
|
| gptkbp:usedIn |
gptkb:category_theory
|
| gptkbp:bfsParent |
gptkb:Grothendieck_universe
|
| gptkbp:bfsLayer |
6
|