Category:Definitions/Spheres (Topology)

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This category contains definitions related to spheres in the context of topology.
Related results can be found in Category: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.