Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Riemannian_manifold |
| gptkbp:borders |
none
|
| gptkbp:category |
gptkb:topology
gptkb:Riemannian_manifold |
| gptkbp:defines |
set of points in 5-dimensional Euclidean space at unit distance from the origin
|
| gptkbp:dimensions |
4
|
| gptkbp:Euler_characteristic |
2
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:homology_group |
Z in dimensions 0 and 4, 0 otherwise
|
| gptkbp:homotopy_group |
trivial for n>4
|
| https://www.w3.org/2000/01/rdf-schema#label |
real 4-sphere
|
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
gptkb:3-sphere gptkb:Hopf_fibration exotic sphere n-sphere |
| gptkbp:symbol |
S^4
|
| gptkbp:topology |
compact
simply connected |
| gptkbp:bfsParent |
gptkb:complex_projective_plane
|
| gptkbp:bfsLayer |
7
|