equator

Given an n-sphere $S^n$, regarded under its standard embedding into Cartesian space $\mathbb{R}^{n+1}$, then its *equator* is the intersection with $\mathbb{R}^n \subset \mathbb{R}^{n+1}$. This devides the $n$-sphere into its to hemi-n-spheres.

Created on May 7, 2017 at 07:42:19. See the history of this page for a list of all contributions to it.