Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
twist theorem
|
| gptkbp:appliesTo |
area-preserving maps
annulus |
| gptkbp:field |
gptkb:mathematics
gptkb:topology dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré–Birkhoff theorem
|
| gptkbp:namedAfter |
gptkb:George_David_Birkhoff
gptkb:Henri_Poincaré |
| gptkbp:relatedTo |
gptkb:Brouwer_fixed-point_theorem
gptkb:Poincaré_map fixed point theorem |
| gptkbp:sentence |
Every area-preserving homeomorphism of an annulus that twists the two boundaries in opposite directions has at least two fixed points.
|
| gptkbp:yearProved |
1913
|
| gptkbp:bfsParent |
gptkb:Jules_Henri_Poincaré
gptkb:Birkhoff–Lewis_fixed-point_theorem |
| gptkbp:bfsLayer |
6
|