Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Brouwer_fixed-point_theorem
|
| gptkbp:appliesTo |
continuous functions
closed disk |
| gptkbp:field |
gptkb:topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Brewer's theorem
|
| gptkbp:influenced |
gptkb:Nash_equilibrium
gptkb:Sperner's_lemma gptkb:Kakutani_fixed-point_theorem |
| gptkbp:namedAfter |
gptkb:Brouwer
|
| gptkbp:provenBy |
gptkb:L._E._J._Brouwer
|
| gptkbp:state |
every continuous function from a closed disk to itself has at least one fixed point
|
| gptkbp:usedIn |
economics
game theory partial differential equations |
| gptkbp:yearProved |
1911
|
| gptkbp:bfsParent |
gptkb:CAP_theorem
|
| gptkbp:bfsLayer |
6
|