nLab
equator

Contents

Idea

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