Category:Spheres (Topology)

This category contains results about spheres in the context of topology.
Definitions specific to this category can be found in Definitions/Spheres (Topology).

The $n$-dimensional sphere, or $n$-sphere, is the set:

$\Bbb S^n = \set {x \in \R^{n + 1} : \size {x - y} = r}$

where $\size {\, \cdot \, }$ denotes the Euclidean distance.