Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Hypersphere
|
| gptkbp:alternativeName |
S^15
|
| gptkbp:borders |
none
|
| gptkbp:canBeEmbeddedIn |
R^16
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
15
|
| gptkbp:Euler_characteristic |
0
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:hasConnection |
true
|
| gptkbp:homologyGroup |
H_0(S^15) = Z
H_15(S^15) = Z H_k(S^15) = 0 for 0 < k < 15 |
| gptkbp:homotopyGroup |
π_15(S^15) = Z
|
| https://www.w3.org/2000/01/rdf-schema#label |
15-sphere
|
| gptkbp:isClosedManifold |
true
|
| gptkbp:isOrientable |
true
|
| gptkbp:isParallelizable |
true
|
| gptkbp:isSmoothManifold |
true
|
| gptkbp:topologicalType |
gptkb:Riemannian_manifold
|
| gptkbp:volume |
(2π^8)/(7!)*r^15
|
| gptkbp:bfsParent |
gptkb:octonionic_Hopf_fibration
|
| gptkbp:bfsLayer |
6
|