8-sphere

GPTKB entity

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