Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:topology |
| gptkbp:definedIn |
set of points in 4-dimensional Euclidean space at unit distance from the origin
|
| gptkbp:describes |
unit quaternions
SU(2) group manifold |
| gptkbp:dimensions |
3
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:generalizes |
gptkb:butter
2-sphere |
| gptkbp:hasProperty |
compact
simply connected |
| gptkbp:heldBy |
3-dimensional sphere
|
| gptkbp:homotopy_group |
trivial
|
| https://www.w3.org/2000/01/rdf-schema#label |
3-Sphäre
|
| gptkbp:relatedTo |
gptkb:Poincaré_conjecture
gptkb:Hopf_fibration |
| gptkbp:symbol |
S^3
|
| gptkbp:used_in |
gptkb:geometry
gptkb:theoretical_physics gptkb:topology |
| gptkbp:bfsParent |
gptkb:Poincaré-Vermutung
|
| gptkbp:bfsLayer |
7
|