Statements (15)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:butter
gptkb:mathematical_concept |
gptkbp:defines |
the set of points in 9-dimensional Euclidean space at unit distance from a fixed point
|
gptkbp:dimensions |
8
|
gptkbp:Euler_characteristic |
2
|
gptkbp:fundamentalGroup |
trivial
|
gptkbp:homology_group |
same as 8-dimensional sphere
|
gptkbp:homotopy_group |
π_8(S^8) = Z
|
https://www.w3.org/2000/01/rdf-schema#label |
8-sphere
|
gptkbp:symbol |
S^8
|
gptkbp:topology |
simply connected
compact manifold |
gptkbp:volume_formula |
V = 2π^{4.5}/Γ(4.5)
|
gptkbp:bfsParent |
gptkb:octonionic_Hopf_fibration
|
gptkbp:bfsLayer |
6
|