fundamental theorem of projective geometry
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
projective spaces of dimension at least 2
|
| gptkbp:field |
gptkb:geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
fundamental theorem of projective geometry
|
| gptkbp:implies |
projective geometry is determined by its collineations
|
| gptkbp:provenBy |
gptkb:Oswald_Veblen
|
| gptkbp:relatedTo |
collineation
projective transformation semilinear transformation |
| gptkbp:state |
any bijective collineation of a projective space of dimension at least 2 is induced by a semilinear transformation
|
| gptkbp:yearProposed |
early 20th century
|
| gptkbp:bfsParent |
gptkb:Projective_geometry
|
| gptkbp:bfsLayer |
5
|