Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
projective plane |
| gptkbp:alsoKnownAs |
Grassmannian
|
| gptkbp:coordinates |
quaternions
|
| gptkbp:dimensions |
8
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:generalizes |
gptkb:complex_projective_plane
gptkb:real_projective_plane |
| gptkbp:hasCellDecomposition |
0, 4, 8-cells
|
| gptkbp:homogeneous_space |
gptkb:F4/Spin(9)
|
| gptkbp:homologyGroup |
Z in degrees 0, 4, 8
|
| https://www.w3.org/2000/01/rdf-schema#label |
quaternion projective plane
|
| gptkbp:introduced |
gptkb:Heinz_Hopf
|
| gptkbp:notDesarguesian |
true
|
| gptkbp:relatedTo |
gptkb:octonion_projective_plane
gptkb:exceptional_Lie_group_F4 |
| gptkbp:studiedIn |
gptkb:algebraic_geometry
gptkb:geometry |
| gptkbp:symbol |
HP^2
|
| gptkbp:topologicalType |
8-dimensional manifold
|
| gptkbp:bfsParent |
gptkb:Moufang_plane
|
| gptkbp:bfsLayer |
6
|